scientific article

zbMath0294.58004MaRDI QIDQ4046802

Martin Golubitsky, Victor W. Guillemin

Publication date: 1973

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Mathematics Subject Classification ID

Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Singularities of differentiable mappings in differential topology (57R45) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Critical points and critical submanifolds in differential topology (57R70) Differentiable maps on manifolds (58C25) Implicit function theorems; global Newton methods on manifolds (58C15) General theory of differentiable manifolds (58Axx)

Related Items

Nonlinear autonomous difference operators in the space of bounded sequences that are \(C^1\)-diffeomorphisms, Equivalence of neighborhoods of embedded compact complex manifolds and higher codimension foliations, Local theory of singularities of three functions and the product maps, Noncritical holomorphic functions on Stein manifolds., Elimination of singularities of smooth mappings of 4-manifolds into 3-manifolds, On the stabilization of controllable and observable systems by an output feedback law, Principal curvature lines near a partially umbilic point of codimension one, \(C^r\)-prevalence of stable ergodicity for a class of partially hyperbolic systems, Transversality on infinite dimensional manifolds with corners, Topological classification of impulsive differential equations, Weighted local Weyl laws for elliptic operators, The geometry of surfaces in 4-space from a contact viewpoint, Continuous dependence on data under the Lipschitz metric for the rotation-Camassa-Holm equation, A refined version of parametric transversality theorems, The singular evolutoids set and the extended evolutoids front, Singularity theory and core existence in the spatial model, Legendrian dual surfaces of a spacelike curve in the 3-dimensional lightcone, A framework for differential calculus on persistence barcodes, Invertibility conditions for nonlinear autonomous differential operators in the space of functions bounded on the axis, On the dynamics of a heavy symmetric ball that rolls without sliding on a uniformly rotating surface of revolution, On Reeb graphs induced from smooth functions on 3-dimensional closed manifolds with finitely many singular values, A lower bound on computational complexity given by revelation mechanisms, Feedback classification of nonlinear control systems on 3-manifolds, Homogeneous Lyapunov functions and necessary conditions for stabilization, Quantum extended crystal super PDEs, Geodesics in the Heisenberg group \(H ^{n }\) with a Lorentzian metric, Singularities of multivalued solutions of quasilinear hyperbolic systems, Canard cycles of finite codimension with two breaking parameters, On the cusped fan in a planar portrait of a manifold, Whitney theorem for complex polynomial mappings, First-order local invariants of stable maps from 3-manifolds to \(\mathbb R^{3}\), The geometry of differential constraints for a class of evolution PDEs, Generic regularity of conservative solutions to the rotational Camassa-Holm equation, Reflection maps, Topological complexity of motion planning in projective product spaces, Graphs of stable maps from 3-manifolds to 3-space, Mathematics of gravitational lensing: Multiple imaging and magnification, The ring of Fermat reals, The influence of noise on the correlation dimension of chaotic attractors, Causal holography of traversing flows, Exponential mappings for contact sub-Riemannian structures, The generic local structure of time-optimal synthesis with a target of codimension one in dimension greater than two, A nonremovable generic 4-ball in the unit sphere of \(\mathbb{C}^3\), The geometry of the secant caustic of a planar curve, Generic distance-squared mappings on plane curves, Singularities of holonomic and non-holonomic robotic systems: a normal form approach, New inverse and implicit function theorems for differentiable maps with isolated critical points, The global conservative solutions for the generalized Camassa-Holm equation, On structural accessibility of network nonlinear systems, On Gaussian curvatures and singularities of Gauss maps of cuspidal edges, Microlocal inversion of a 3-dimensional restricted transverse ray transform on symmetric tensor fields, Three topological results on the twistor discriminant locus in the 4-sphere, Generic profit singularities in time-averaged optimization for cyclic processes in polydynamical systems, Introducing totally nonparallel immersions, On the universal unfolding of vector fields in one variable: a proof of Kostov's theorem, On the reduction of general relativity to Newtonian gravitation, Transversally pseudoconvex semiholomorphic foliations, On Nash equilibrium. II, Survival of a recessive allele in a Mendelian diploid model, Three applications of delooping to \(h\)-principles, Slow unfoldings of contact singularities in singularly perturbed systems beyond the standard form, On parametric nonlinear programming, Overdetermined constraints and rigid synchrony patterns for network equilibria, Projected and near-projected embeddings, On the generic structure and stability of Stackelberg equilibria, Fold cobordism groups of Morse functions on surfaces with boundary, Certified numerical algorithm for isolating the singularities of the plane projection of generic smooth space curves, A cobordism realizing crossing change on \(\mathfrak{sl}_2\) tangle homology and a categorified Vassiliev skein relation, Microlocal analysis of Doppler synthetic aperture radar, Self-intersections of closed parametrized minimal surfaces in generic Riemannian manifolds, A logic based approach to finding real singularities of implicit ordinary differential equations, The chromatic Brauer category and its linear representations, Generic geometry of stable maps of 3-manifolds into \(\mathbb{R}^4\), FIOs with cusp singularities and open umbrellas, On the influence of noise on the largest Lyapunov exponent of attractors of stochastic dynamic systems, Diffeomorphisms preserving Morse-Bott functions, The geometry of the Wigner caustic and a decomposition of a curve into parallel arcs, Modules pour les familles de courbes planes. (Moduli for the families of plane curves), Sections of Hamiltonian systems, The fundamental theorem for \(C^\infty\) immersed affine hypersurfaces with type changing Blaschke metric, On structural stability of characteristic nets and the Cauchy problem for a Tricomi-Cibrario type equation, On the structure of the equilibrium price set of overlapping-generations economies, How Lagrangian states evolve into random waves, Witten deformation using Lie groupoids, Strict rational expectations equilibria with diffuseness, Symmetry and bifurcation in three-dimensional elasticity. I, Two decades of finite jet determination of CR mappings, Whitney singularities of solutions of partial differential equations, Configuration spaces, multijet transversality, and the square-peg problem, Fourier transform of surface-carried measures of two-dimensional generic surfaces and applications, The period-index problem for real surfaces, Signature asymptotique d'un champ de vecteurs en dimension 3. (Asymptotic signature of a vector field in dimension 3), Oscillatory integral operators with low-order degeneracies., Inflation and topological phase transition driven by exotic smoothness, Constructions of round fold maps on smooth bundles, Generic transversality of heteroclinic and homoclinic orbits for scalar parabolic equations, Perturbation of quadrics, The geodesic ray transform on Riemannian surfaces with conjugate points, Uniform \(L^p\) boundedness for oscillatory singular integrals with \(C^\infty\) Phases, Nonconvergent bounded solutions of semilinear heat equations on arbitrary domains, Poisson algebras in reduction of symmetries, Singularities of algebraic differential equations, Simpliciality of strongly convex problems, Geometry and the quantum: basics, Locally parameter identifiable systems are generic, Interlacement of double curves of immersed spheres, Semi-conical eigenvalue intersections and the ensemble controllability problem for quantum systems, The Weyl principle on the Finsler frontier, Normal forms for manifolds of normally hyperbolic singularities and asymptotic properties of nearby transitions, A quadratically convergent algorithm for structured low-rank approximation, Rank and regularity for averages over submanifolds, Counting signed swallowtails of polynomial selfmaps of \(\mathbb R^3\), Geometry and topology of proper polynomial mappings, Singularity theory of fitness functions under dimorphism equivalence, On the singularities of families of curve congruences on Lorentzian surfaces, Convergence of the wave equation damped on the interior to the one damped on the boundary, Joint production in teams, On the role of sharp chains in the transport theorem, Stable maps from surfaces to the plane with prescribed branching data, How often surface diffeomorphisms have infinitely many sinks and hyperbolicity of periodic points near a homoclinic tangency, Taxes and money in incomplete financial markets, Widths of surface knots, A measure of the deviation from there being fibrations between a pair of compact manifolds, Deformations and transversality of pseudo-holomorphic discs, Differential topology of adiabatically controlled quantum processes, Primal-dual interior-point method for an optimization problem related to the modeling of atmospheric organic aerosols, Extrinsic uncertainty revisited, An iterative procedure for vector optimization, The consistency problem in optimal control: the degenerate case., Conformal invariants and spherical contacts of surfaces in \(\mathbb R^4\), A rigorous model study of the adaptive dynamics of Mendelian diploids, Global topological invariants of stable maps from 3-manifolds to \(\mathbb R^{3}\), Folding maps on spacelike and timelike surfaces and duality, Under- and overdetermined systems of differential equations, Oscillatory integral operators with homogeneous polynomial phases in several variables, Kolmogorov-Sinai entropy via separation properties of order-generated \(\sigma\)-algebras, Resonance and fractal geometry, Pareto improving interventions in a general equilibrium model with private provision of public goods, Non-conservative perturbations of homoclinic snaking scenarios, Imaging geometric graphs using internal measurements, Bifurcation of critical points for continuous families of \(C^2\) functionals of Fredholm type, Visual data mining based on differential topology: a survey, Balanced split sets and Hamilton-Jacobi equations, Generic Morse-Smale property for the parabolic equation on the circle, The \(C^1\) closing Lemma for generic \(C^1\) endomorphisms, Existence and nonexistence of skew branes, Desynchronization and inhibition of Kuramoto oscillators by scalar mean-field feedback, Infinitesimals without logic, On the optimality of exclusion in multi-dimensional screening, Degenerate hyperbolic conservation laws with dissipation: reduction to and validity of a class of Burgers-type equations, On the transversality of functions at the core of the transverse function approach to control, Optimal response to chemotherapy for a mathematical model of tumor-immune dynamics, An FIO calculus for marine seismic imaging. II: Sobolev estimates, Converting homotopies to isotopies and dividing homotopies in half in an effective way, Elimination of extremal index zeroes from generic paths of closed 1-forms, Observability of real analytic vector fields on compact manifolds, The intrinsic dynamics of optimal transport, Counting indices of critical points of rank two of polynomial selfmaps of \(\mathbb{R}^4\), Homeostasis, singularities, and networks, The Morse-Smale structure of a generic reaction-diffusion equation in higher space dimension, Generic regularity of conservative solutions to a nonlinear wave equation, A finite dimensional approach to light rays in general relativity, On the number of triple points of the tangent developable, Fully stratified compact hypersurfaces in Minkowski 4-space, Algebraic and geometric structures of analytic partial differential equations, Sphere eversion from the viewpoint of generic homotopy, Approximation of biholomorphic mappings by automorphisms of \(\mathbb{C}^ n\), Bifurcation from family of periodic orbits in discontinuous autonomous systems, Semiclassical \(L^p\) estimates of quasimodes on curved hypersurfaces, Immersions of the real projective plane into \(\mathbb R^{3}\), Parametric Poincaré-Perron theorem with applications, Stratifiable families of extremals and sufficient conditions for optimality in optimal control problems, Gauss-Bonnet formulae and rotational integrals in constant curvature spaces, Extended crystal PDE's stability. I: The general theory, Extended crystal PDE'S stability, II: The extended crystal MHD-PDE'S, On 2-knots with total width eight, The Taylor expansion of the exponential map and geometric applications, On polynomial mappings from the plane to the plane, Modifications of Hodge bundles and enumerative geometry: the stable hyperelliptic locus, A bumpy metric theorem and the Poisson relation for generic strictly convex domains, Singularités de solutions d'équations aux dérivées partielles. (Singuarities of solutions of partial differential equations), An intrinsic approach in the curved \(n\)-body problem: the negative curvature case, Local controllability bifurcations in families of bidynamical systems on the plane, Microlocal analysis of scattering data for nested conormal potentials, Simultaneous smoothness and simultaneous stability of a \(C^\infty\) strictly convex integrand and its dual, Synthetic aspects of \(C^\infty\)-mappings, Singularities of convex hulls, Homotopy construction of a spinor wave functional, Generic properties of the eigenvalue of the Laplacian for compact Riemannian manifolds, On the difficulty of eliciting summary information, Chern numbers of kernel and cokernel bundles. Appendix to On the Kodaira dimension of the moduli space of curves. II. The even-genus case by J. Harris, On solvability of several affine system problems, Generalizations of the spectral theorem for matrices. II. Matrix polynomials over arbitrary fields, Seeing - the mathematical viewpoint, Classification theorem for smooth social choice on a manifold, Global stability for diagrams of differentiable applications, Constrained multiparameter global bifurcation, Coordinate free Morse theory, Nonnormality of \(\mathcal C^\infty (M,N)\) in Whitney's and related topologies when \(M\) is open, Oscillation theory and the density of states for the Schrödinger operator in odd dimension, The projective symplectic geometry of higher order variational problems: minimality conditions, On first and second order planar elliptic equations with degeneracies, What to maximize if you must, Stability of higher order singular points of Poisson manifolds and Lie algebroids, The Cauchy problems for Einstein metrics and parallel spinors, On the coexistence of corank 1 multisingularities of a stable smooth mapping of equidimensional manifolds, Exotic n-D’Alembert PDEs and Stability, On the extended crystal PDE's stability. I: The \(n\)-d'Alembert extended crystal PDE's, On the extended crystal PDE's stability. II: Entropy-regular-solutions in MHD-PDE's, Some Recent Results on the Stability of Endomorphisms, The landscape of G-structures in eight-manifold compactifications of M-theory, Micro-Foundations of the Social Change, Singularities, Walrasian Economies and Economic Crisis, From singularity theory to finiteness of Walrasian equilibria, Estimates for singular Radon transforms and pseudodifferential operators with singular symbols, Stresses in mixture theory, Singularities of the stability frontier of generic families of linear differential equations, Geometric and algebraic reduction for singular momentum maps, Deformation of generic submanifolds in a complex manifold, Morse theory and geodesics in the space of Kähler metrics, Stabilization of nonlinear systems with semi-quadratic cost, Singularities of tangent surfaces to generic space curves, Singular initial value problems for scalar quasi-linear ordinary differential equations, Macroscopic scalar curvature and areas of cycles, Finite-time stabilization control of quantum systems, The Geometry of Double Fold Maps, Lips and swallow-tails of singularities of product maps, Unnamed Item, On some aspects of the dynamics of a ball in a rotating surface of revolution and of the kasamawashi art, Poisson and near-symplectic structures on generalized wrinkled fibrations in dimension 6, Continuum mechanics, stresses, currents and electrodynamics, Normal forms for singularities of pedal curves produced by non-singular dual curve germs in \(S^{n}\), Completeness of Reidemeister-type moves for surfaces embedded in three-dimensional space, Smooth maps to the plane and Pontryagin classes. I: Local aspects, Stable Gauss maps from a global viewpoint, Slow divergence integral and balanced canard solutions, A Finsler type Lipschitz optimal transport metric for a quasilinear wave equation, Fold maps on small dimensional manifolds with prescribed singular set, Optimization of adiabatic control strategies along non-mixing curves with singularities, Practical computation of normal forms of the Bogdanov-Takens bifurcation, Microlocal analysis of borehole seismic data, Algebraic topology and the quantization of fluctuating currents, The curvature Veronese of a 3-manifold immersed in Euclidean space, On associate families of spacelike Delaunay surfaces, Minkowski medial axes and shocks of plane curves, Cobordism group of Morse functions on surfaces with boundary, Criteria for Morin singularities for maps into lower dimensions, and applications, Critical configurations of planar multiple penduli, On genericity of complete controllability in the space of linear parametrized control systems, The Reeb Graph of a Map Germ from ℝ³ to ℝ² with Isolated Zeros, Minkowski Symmetry Sets of Plane Curves, Polynomial normal forms of constrained differential equations with three parameters, Birth of limit cycles bifurcating from a nonsmooth center, Constructing topologically distinct energy-critical curves in the path space of the Euclidean line, Bifurcations of multiple relaxation oscillations in polynomial Liénard equations, Adaptation of the generic PDE's results to the notion of prevalence, Totally skew embeddings of manifolds, The horospherical geometry of surfaces in hyperbolic 4-space, Uniform approximation of near-singular surfaces, Generic singularities of the optimal averaged profit among stationary strategies, Multi-layer canard cycles and translated power functions, Degenerate relative equilibria, curvature of the momentum map, and homoclinic bifurcation, A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms II, The profile structure for Luce's choice axiom, Singularities of envelopes of families of submanifolds in $\mathbb{R}^N$, The generic structure of the optic flow field, Cobordism of Morse functions on surfaces, the universal complex of singular fibers and their application to map germs, Physical measures for partially hyperbolic surface endomorphisms, Two-dimensional Lagrangian singularities and bifurcations of gradient lines. I., Relative finite determinacy and relative stability of function-germs, Generic hyperbolicity of equilibria and periodic orbits of the parabolic equation on the circle, Classification of singular fibres of stable maps of 4-manifolds into 3-manifolds and its applications, Singular fibers of stable maps and signatures of 4-manifolds, Polynomially convex hulls of singular real manifolds, Nonexistence of homotopy equivalences which are \(C^{\infty}\) stable or of finite codimension, On the Hilbert scheme of degeneracy loci of twisted differential forms, $1$-complete semiholomorphic foliations, Movie moves for singular link cobordisms in 4-dimensional space, \(C^T\)-right equivalence of analytic functions, A numerical approach to compute the topology of the apparent contour of a smooth mapping from \(\mathbb{R}^2\) to \(\mathbb{R}^2\), Saddle-Node Bifurcations in Classical and Memristive Circuits, Linking numbers in non-orientable 3-manifolds, Unnamed Item, Transversality theorems for the weak topology, Characteristic classes and existence of singular maps, An intrinsic approach in the curved $n$-body problem. The positive curvature case, Combinatorial computation of combinatorial formulas for knot invariants, A regularity theorem for conservation laws, Force theory for multiphase bodies, On the quasi-periodic \(d\)-fold degenerate bifurcation, Generic transversality property for a class of wave equations with variable damping, The Mizohata complex, On the local classification of smooth maps induced by Newton's method, Universal topological stratification for the Pham example, Partially umbilic singularities of hypersurfaces of \(\mathbb{R}^4\), \texttt{PAINT-SICon}: constructing consistent parametric representations of Pareto sets in nonconvex multiobjective optimization, Resonance and Singularities, Synchrony-Breaking Bifurcation at a Simple Real Eigenvalue for Regular Networks 2: Higher-Dimensional Cells, How to include fermions into general relativity by exotic smoothness, Harmonic morphisms with one-dimensional fibres on Einstein manifolds, Material stability, the Gibbs conjecture and the first phase rule for substances, The dynamic differential forms of the Klein-Gordon field and the conformal group, Nontransitive-nontotal consumer theory, Bifurcation diagrams for feedback families of linear systems, Global Hopf bifurcation of two-parameter flows, Determining and uniformly estimating the gauge potential corresponding to a given gauge field on \(M^ 4\), Stability and bifurcations of symmetric periodic orbits, Equilibrium in incomplete markets. I: A basic model of generic existence, New framework for the Feynman path integral, Structural instability of the core, Intrinsic nilpotent approximation, Singularity theory and configuration space models of \(\Omega ^ nS^ n\) of non-connected spaces, Steady state bifurcations and exact multiplicity conditions via Carleman linearization, Stability and instability in oligopoly, Revêtements du groupe des quantomorphismes de l'oscillateur harmonique. (Covering spaces for the quantomorphism group of the harmonic oscillator), Conditions nécessaires et suffisantes d'existence de solutions en calcul des variations. (Necessary and sufficient conditions for the existence of solutions in the calculus of variations), The only stable normal forms of affine systems under feedback are linear, Champs Hamiltoniens, relaxation et existence de solutions en calcul des variations. (Hamiltonian fields, relaxation and existence of solutions in the calculus of variations), An inequality for analytic functions, Many function-spaces are not normal if the domain is not compact, On regular minimax optimization, The evaluation map in field theory, sigma-models and strings. II, Singularities and normal forms of observed dynamics, Synthetic aspects of \(C^{\infty}\)-mappings. II: Mather's theorem for infinitesimally represented germs, A stability problem with nonstationary overlapping generations equilibria, Locality and continuity in constitutive theory, Generic properties in Euclidean kinematics, Nonlocal inversion formulas for the X-ray transform, Topological stability theorem for composite mappings, Spectrum of the Poincaré map for periodic reflecting rays in generic domains, Local triviality of the restriction map for immersions with normal crossings: An extension of a result of R. Palais, On structural instability of normal forms of affine control systems subject to static state feedback, Dissipative-asymptotic manifolds, Smooth social choice, Continuous mean demand functions derived from non-convex preferences, Two natural metrics and their covariant derivative on a manifold of embeddings, A global genericity theorem for bifurcations in variational problems, Generic properties of simple Bergson-Samuelson welfare functions, Symmetry groups and group invariant solutions of partial differential equations, Smoothing demand by aggregation with respect to wealth, Monostatic SAR with fold/cusp singularities, Uniqueness of mean maximizers and continuity of aggregate demand, On the generic existence of Radner equilibria when there are as many securities as states of nature, Generic bifurcations of second order ordinary differential equations near closed orbits, Lifting smooth homotopies of orbit spaces, A new inequality for symmetric functions, Equilibria of Riesz potentials generated by point charges at the roots of unity, Sulla coomologia intera delle varieta differenziabili, On the spectra of a family of positive matrices, Further remarks on the global Newton method, The field copy problem: To what extent do curvature (gauge field) and its covariant derivatives determine connection (gauge potential)?, Minimizing a differentiable function over a differential manifold, Utility perturbations and the equilibrium price set, Small-noise asymptotics of Hamilton-Jacobi-Bellman equations and bifurcations of stochastic optimal control problems, Nonholonomic manifolds and nilpotent analysis, On the possible and stable psychophysical laws, Linear classification of quadratic mappings in the space \(C^ 3\), The metaplectic representation, Weyl operators and spectral theory, On the number of samples necessary to achieve observability, Equivalence of glancing hypersurfaces. II, Bifurcations in one dimension. II. A versal model for bifurcations, A note on the codimension of a map, On the robustness of strategy proof mechanisms, Period-doubling mode interactions with circular symmetry, Mathematical foundations of the singularity and eigenmode expansion methods (SEM and EEM), Normal forms and versal deformations of linear Hamiltonian systems, Perturbation of resonances, The overlapping-generations model. III. The case of log-linear utility functions, On algebraicity of global real analytic sets and functions, Complicated dynamics in scalar semilinear parabolic equations in higher space dimension, Singularities of maximal surfaces, Generic complex vector fields in \(\mathbb R^2\), Diffeomorphism groups of compact manifolds, Structurally stable perturbations of polynomials in the Riemann sphere, A stable range description of the space of link maps, Center conditions at infinity for Abel differential equations, The reversible umbilic bifurcation, Applications of catastrophe theory to the physical sciences, Projections of hypersurfaces in the hyperbolic space to hyperhorospheres and hyperplanes, Critical points index for vector functions and vector optimization, Foliations and polynomial diffeomorphisms of \(\mathbb R^3\), Geometric contacts of surfaces immersed in \(\mathbb R^n,n\geqslant 5\), Generic mobility of rigid body mechanisms, Domains with prescribed automorphism group, \(\infty \)-jets of diffeomorphisms preserving orbits of vector fields, Stability of symmetries for equilibrium configurations of N particles in three dimensions, Reduction and quantization for singular momentum mappings, Does a generic connection depend continuously on its curvature?, The conserved currents for the Maxwellian field, Invalidity of the elements of best approximation and a theorem of Glaeser, On the generic inefficiency of differentiable market games, Rational expectations in the overlapping generations model, Price-dispersed preferences and \(C^ 1\) mean demand, Pattern selection with \(\mathrm{O}(3)\) symmetry, Analytic disks with boundaries in a maximal real submanifold of \({\mathbb C}^ 2\), Implementing a generic smooth function, Catastrophe theory and differential geometry, Structure of the convex hull of a space curve, Singularities of the maximum function on a manifold with boundary, Equivalence of connections, Local algebras of differential operators, Piecewise-regular maps, Homotopy classification of contact foliations on open contact manifolds, Stable maps and links in 3-manifolds, Problems of distance geometry and convex properties of quadratic maps, Flexible high-order discretization of geometric data for global motion planning, Locally stable holomorphic maps and their application to a global moduli problem for some kinds of analytic subvarieties, Unfolding the zero structure of a linear control system, Loops in Reeb graphs of \(n\)-manifolds, Polar varieties, real equation solving, and data structures: the hypersurface case, Triangular systems: A global extension of the Coron-Praly theorem on the existence of feedback-integrator stabilisers, Condition operators, condition numbers, and condition number theorem for the generalized eigenvalue problem, Uniqueness and regularity of conservative solution to a wave system modeling nematic liquid crystal, Bordism of oriented manifolds with local \(T^2\) action, The geometry of the Gibbs-Appell equations and Gauss' principle of least constraint, Constrained equations with impasse points, From coupled networks of systems to networks of states in phase space, Bifurcation characteristics analysis of a class of nonlinear dynamical systems based on singularity theory, Conditions of solvability of functional equations with differentiable \(\lambda\)-injective operator, A remark on nonlinear accessibility conditions and infinite prolongations., Singularity avoidance in robotic manipulators: A differential form approach, Prevalence in the space of finitely smooth maps, Singularities of tangent surfaces to directed curves, Realization of graphs by fold Gauss maps, Graphs of stable maps from closed surfaces to the projective plane, Standard special generic maps of homotopy spheres into Euclidean spaces, Reflection ideals and mappings between generic submanifolds in complex space, Smoothness and geometry of boundaries associated to skeletal structures I: sufficient conditions for smoothness., Stabilization of a class of slow-fast control systems at non-hyperbolic points, Regular homotopy classes of locally generic mappings., Inflection points and nonsingular embeddings of surfaces in \(\mathbb{R}^5\), Necessary and sufficient conditions for the invertibility of nonlinear differentiable maps, Topological stability of the averages of functions, On the finiteness of the number of critical equilibria, with an application to random selections, Bifurcation of heteroclinic orbits for diffeomorphisms, Planar nonlinear systems: Practical stabilization and Hermes controllability condition, Statistical inference of semidefinite programming, Determinacy of determinantal varieties, Hopf bifurcation from a differentiable viewpoint, A properly embedded holomorphic disc in the ball with finite area and dense boundary, Optimal control for a mathematical model of glioma treatment with oncolytic therapy and TNF-\(\alpha \) inhibitors, Composition of some singular Fourier integral operators and estimates for restricted X-ray transforms. II, The theorem of Mather on generic projections in the setting of algebraic geometry, How common is identification in parametric models?, Generic aspects of convexification with applications to thermodynamic equilibrium, Diffraction of pulses in the vicinity of simple caustics and caustic cusps, Classification of Engel knots, A global formalism for nonlinear waves in conservation laws, Classification of kinematic singularities in planar robot manipulators, Separation properties of continuous maps in codimension 1 and geometrical applications, Finite-dimensional algebraic representations of the infinite phylon group, On the isotopy of Legendrian knots, Semialgebraic complexity of functions, Contact equivalence for Lagrangian manifolds, Catastrophe theory, An example of generic regularity for a non-linear elliptic equation, Lie group structures on groups of diffeomorphisms and applications to CR manifolds., Applications of generic bifurcation. I, A topological invariant for stable map germs, The singularities of the visual mapping, Applications of generic bifurcation. II, Global analysis and economics. VI: Geometric analysis of Pareto optima and price equilibria under classical hypotheses, Characterization of optima in smooth Pareto economic systems, Equivalence of glancing hyper-surfaces, Thresholds in Pareto sets, Stabilité simultanée de deux fonctions différentiables, Exchange processes with price adjustment, Caustics in general relativity. I: The phase function, Accessibility of optima in pure exchange economies, Isometric embedding of a smooth compact manifold with a metric of low regularity, Catastrophe theory as applied to the social and biological sciences: A critique, On the structure and stability of local Pareto optima in a pure exchange economy, Singularity theory of utility mappings - I: Degenerate maxima and Pareto optima, A convenient setting for differential calculus, Stability of transversality to a stratification implies Whitney (a)- regularity, Symmetry and bifurcation of fixed points of area preserving maps, Nodal sets of smooth functions with finite vanishing order and \(p\)-sweepouts, Some comments on MacDonald's paper, Equilibrium analysis and envelope theory, Die Universalität der Kuspoiden, Regular competitive equilibria in disequilibrium economics, Deformations of strictly pseudoconvex domains, Local existence and stability of multivalued solutions to determined analytic first-order systems on the plane, Connectedness of the set of manipulable equilibria, Evolutions of convex hulls and phase transitions in thermodynamics, Topology of generic multijet preimages and blow-up via Newton interpolation, An example of classification of germs of Lagrangian foliations in the neighbourhood of a compact leaf, The preparation theorem on Banach spaces, On the geometry of singular Lagrangians, All two dimensions links are null homotopic, Geometrical theory of uniform Cosserat media, Lines of principal curvature around umbilics and Whitney umbrellas, Boundaries of singularity sets, removable singularities, and CR-invariant subsets of CR-manifolds, Regularity of Liapunov functions for stable systems, Real versus complex robustness margin continuity as a smooth versus holomorphic singularity problem, Complex-analytic theory of the \(\mu\)-function, Topological invariance of the solvability of complex-valued vector fields in the plane, Punctual Hilbert schemes and resolutions of multiple point singularities, Differentiable structure of \(\omega\)-subsets of symplectic groups, On function spaces that are interpolating at any \(k\) nodes, A singularity theory analysis of a thermal-chainbranching model for the explosion peninsula, Smooth mappings between foliated manifolds, Saari's conjecture is true for generic vector fields, Structure of the first-order solution set for a class of nonlinear programs with parameters, An Elementary Approach to Generic Properties of Plane Curves, Unnamed Item, Unnamed Item, Cylindrical representations of some infinite dimensional nuclear Lie groups, Boundedness of Dispersive Difference Schemes, Parameter-robustness analysis for a biochemical oscillator model describing the social-behaviour transition phase of myxobacteria, Legendrian dual surfaces in hyperbolic 3-space, Global spacetime similarity, Periodic geodesics of generic nonconvex domains in 𝐑² and the Poisson relation, An example of a map which is $C^2$-robustly transitive but not $C^1$-robustly transitive, Equivariant Dynamical Systems, Unnamed Item, Response solutions and quasi-periodic degenerate bifurcations for quasi-periodically forced systems, Singularities and group actions, Desingularizing Maps of Corank One, The Structure of a Nonlinear Elliptic Operator, Topological degree and the theorem of Borsuk for general covariant mappings with applications, Unnamed Item, Unnamed Item, On two-parametric systems of matrices and diffeomorphisms, Qualitative analysis of van der pol type equation with periodic forcing term, Structurally stable nonlinear regulation with step inputs, Unnamed Item, Unnamed Item, Generating families for images of Lagrangian submanifolds and open swallowtails, Whitney Stratified Chains and Cochains, Normal Euler classes of knotted surfaces and triple points on projections, Continuity of Performance Metrics for Thin Feature Maps, Constrained systems, characteristic surfaces, and normal forms, EXTENDING SCHEMES TO A CARTESIAN CLOSED CATEGORY, ELIMINATION OF DEFINITE FOLD. II, Control in the Spaces of Ensembles of Points, Manifold learning for organizing unstructured sets of process observations, On singularities in solutions to the Hamilton-Jacobi-Bellman equation, Unfolding CR Singularities, Curvature of caustics and singularities of gravitational lenses, On Coupled Multiparameter Nonlinear Elliptic Systems, The influence of elasticity on analysis: Modern developments, Actionable Information in Vision, Robust Topological Inference: Distance To a Measure and Kernel Distance, Impasse points. Part II: Analytical aspects, An extension of lagrange multipliers, Structural stability of free groups, Unnamed Item, Position of Periodic Solutions and Invariant Submanifolds in Structurally Stable and Polynomial Dynamical Systems, A Numerical Characterization of Equisingularity for Map Germs from N-Space, (N≥3), to the Plane, Régularité lipschitzienne et solutions de l'équation des ondes sur une variété riemannienne compacte, Generic bifurcations of forced oscillations of integrable mechanical systems, Flatness and Monge parameterization of two-input systems, control-affine with 4 states or general with 3 states, Unnamed Item, Self-intersection class for singularities and its application to fold maps, On images and inverse images of Weierstrass points, Parametrization of a Singular Lagrangian Variety, The tree of shapes of an image, Stratified transversality by isotopy, The Isometry Groups of Manifolds and the Automorphism Groups of Domains, Differentiable mappings between foliated manifolds, On some completions of the space of hamiltonian maps, Pseudo-Riemannian Metric Singularities and the Extendability of Parallel Transport, Unnamed Item, Singular Sets of Higher Order Elliptic Equations, A k singlarities of wave fronts, A Poincaré-Hopf type theorem for the de Rham invariant, Stable functions and common stabilizations of Heegaard splittings, Unnamed Item, Qualitative methods in bifurcation theory, On singularities, envelopes and elementary differential geometry, Spectral Galerkin approximation of Fokker-Planck equations with unbounded drift, Global Hopf bifurcation from a multiple eigenvalue, A theory for imperfect bifurcation via singularity theory, The unfoldings of a germ of vector fields in the plane with a singularity of codimension 3, The form of the tangent-developable at points of zero torsion on space curves, Global cusp maps in differential and integral equations, Special Points on First Order Partial Differential Equations and the Deformations of Solutions, Isocontour based Visualization of Time-varying Scalar Fields, Enumerative geometry of degeneracy loci, General Position of Equivariant Maps, The Infinitesimal Stability of Semigroups of Expanding Maps, The relation between C∞ and topological stability, On transversality with deficiency and a conjecture of Sard, Catastrophe theory and equations of state: conditions for a butterfly singularity, A homotopy principle for maps with prescribed Thom-Boardman singularities, Parametrization of local CR automorphisms by finite jets and applications, Unnamed Item, Global invertibility of Sobolev functions and the interpenetration of matter, On generic hypersurfaces in ℝⁿ, Folds and Cusps in Banach Spaces with Applications to Nonlinear Partial Differential Equations. II, Generic multiparameter bifurcation from a manifold, Genericity of observability of control-affine systems, On the Local Stability of Differential Forms, Unnamed Item, Hyperbolicity of Closed Orbits Determined by One Function, Proper holomorphic mappings extend smoothly to the boundary, On Genericity and Complements of Measure Zero Sets in Function Spaces, Hopf bifurcation at 1:1 resonance, On simple double zeros and badly conditioned zeros of analytic functions of 𝑛 variables, Stable geodesic nets in convex hypersurfaces, Singularities and dualities of pedal curves in pseudo-hyperbolic and de Sitter space, Normal forms, holomorphic linearization and generic bifurcations of dynamic equations on discrete time scales, Morse theory for discrete magnetic operators and nodal count distribution for graphs, Splitting a contraction of a simple curve traversed m times, Subdividing three-dimensional Riemannian disks, ON THE CHOW THEORY OF PROJECTIVIZATIONS, Old and New Results on Density of Stable Mappings, Elimination of cusps in dimension 4 and its applications, Families of similar simplices inscribed in most smoothly embedded spheres, ON THE PARALLEL AND PERPENDICULAR COMPUTATIONS, Singularities of Gauss maps of wave fronts with non-degenerate singular points, A survey on the blow-up method for fast-slow systems, A persistently singular map of $\mathbb{T}^n$ that is $C^2$ robustly transitive but is not $C^1$ robustly transitive, Multiplicity estimates and the product theorem, Homotopy principles for equivariant isomorphisms, Coupled embeddability, Hamiltonian Spectral Flows, the Maslov Index, and the Stability of Standing Waves in the Nonlinear Schrodinger Equation, The finite jet determination problem for CR maps of positive codimension into Nash manifolds, Centrally symmetric analytic plane domains are spectrally determined in this class, Uniqueness and generic regularity of global weak conservative solutions to the Constantin-Lannes equation, Resolution of singularities for \(C^\infty\) functions and meromorphy of local zeta functions, Conormal spaces and Whitney stratifications, Typical occurrence of self-oscillations in an ocean circulation box model with turbulent fluxes, Non‐harmonic Gohberg's lemma, Gershgorin theory and heat equation on manifolds with boundary, Singularities of Gaussian random maps into the plane, Generic properties of first-order mean field games, Cusp cobordism group of Morse functions, Local moves of the Stein factorization of the product map of two functions on a 3-manifold, On rational convexity of totally real sets, Stable Plane-Gauss Maps on Closed Orientable Surfaces, Stable Bi-Maps on Surfaces and Their Graphs, One‐parameter families of Legendre curves and plane line congruences, Further remarks on KKL observers, Generalized solutions to degenerate dynamical systems, Singularities of 3-parameter line congruences in, Fold maps associated to geodesic random walks on non-positively curved manifolds, On diffeologies from infinite dimensional geometry to PDE constrained optimization, A remark on stability and the D-topology of mapping spaces, On the boundedness of a family of oscillatory singular integrals, On structural stability of evolutionary stable strategies, On the growth behaviour of Hironaka quotients, Round fold maps of n-dimensional manifolds into (n-1)-dimensional Euclidean space, Multisections of 4-manifolds, Characterization of generic transversality, Symmetries of cross caps, SPACES OF POLYNOMIALS WITH CONSTRAINED DIVISORS AS GRASSMANIANS FOR TRAVERSING FLOWS, Dispersive Friedmann universes and synchronization, Transversality of smooth definable maps in O-minimal structures, Medial/Skeletal Linking Structures for Multi-Region Configurations, Graphs with Weight of Fold Gauss Maps, BIFURCATION THEORY OF FUNCTIONAL DIFFERENTIAL EQUATIONS: A SURVEY, Unnamed Item, A PROSET STRUCTURE INDUCED FROM HOMOTOPY CLASSES OF MAPS AND A CLASSIFICATION OF FIBRATIONS, Unlinking singular loci from regular fibers and its application to submersions, Apparent contours of stable maps of surfaces with boundary into the plane, A global stabilization theorem for planar nonlinear systems, Immersed 𝑛-manifolds in 𝐑²ⁿ and the double points of their generic projections into 𝐑²ⁿ⁻¹, Simplifying stable mappings into the plane from a global viewpoint, Coordinate‐free kinematic analysis of overconstrained mechanisms with mobility one, Unnamed Item, Null Controllability of the Structurally Damped Wave Equation on the Two-Dimensional Torus, Unnamed Item, Heegaard splittings and singularities of the product map of Morse functions, Composition of Fourier Integral Operators with Fold and Blowdown Singularities, Sharp time decay estimates for the discrete Klein–Gordon equation, Topology of two-dimensional flow associated with degenerate dividing streamline on a free surface, Complex geometry and operator theory, A numerical approach to some basic theorems in singularity theory, Smooth gauge strings and \(D\geq 2\) lattice Yang-Mills theories, Computing the Euler Characteristic of a Manifold with Boundary, Generic properties of singular trajectories, Generic linear perturbations, Nonlinear systems: Construction of observers and output differentiators, An FIO Calculus for Marine Seismic Imaging: Folds and Cross Caps, On Viscosity Solutions of Certain Hamilton–Jacobi Equations: Regularity Results and Generalized Sard's Theorems, Unnamed Item, Kato–Matsumoto-type results for disentanglements, Generalized normal form and stabilization of non-linear systems, Topology of Pareto Sets of Strongly Convex Problems, 𝐡-principles for hypersurfaces with prescribed principle curvatures and directions, On the plane into plane mappings of hydrodynamic type. Parabolic case, Generic Regularity of Conservative Solutions to Camassa--Holm Type Equations, Unnamed Item, Linear independence of Morse functions on manifolds, FOCAL SURFACES OF WAVE FRONTS IN THE EUCLIDEAN 3-SPACE, Avoiding Observability Singularities in Output Feedback Bilinear Systems, Random product of quasi-periodic cocycles, TOWARDS A GLOBAL ANALYSIS OF SYSTEMS, TOWARDS A GLOBAL ANALYSIS OF SYSTEMS, A universal magnification theorem. III. Caustics beyond codimension 5, On singularities of dynamic response functions in the massless regime of the XXZ spin-1/2 chain, Polynomially convex embeddings of even-dimensional compact manifolds, Parameterization Method for State-Dependent Delay Perturbation of an Ordinary Differential Equation, Strong Differential Observability for Sampled-Time Systems, Canard Explosion and Position Curves, Orbifolds, the A, D, E family of caustic singularities, and gravitational lensing, Ideals Generated by Differential Equations, Embedding spheres in knot traces, The Topology of the Milnor Fibration, Reliable Computation of the Singularities of the Projection in $$\mathbb R^3$$ of a Generic Surface of $$\mathbb R^4$$, A persistently singular map of $\mathbb{T}^n$ that is $C^1$ robustly transitive, (Sub-)Gradient Formulae for Probability Functions of Random Inequality Systems under Gaussian Distribution, Bounding the length of gradient trajectories