scientific article; zbMATH DE number 3281398
From MaRDI portal
Publication:5566243
zbMath0176.19101MaRDI QIDQ5566243
Publication date: 1967
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)
Related Items
New partially hyperbolic dynamical systems. I, Entropy-expansiveness of geodesic flows on closed manifolds without conjugate points, Chaotic instability in three-body problem, Shadowing Lemma and chaotic orbit determination, Lyapunov functions and bounded solutions of linear systems of differential equations, Approximations of continuous periodic functions that are differentiable along the trajectories of dynamical systems, Invariants for smooth conjugacy of hyperbolic dynamical systems. I, Dynamical systems with variable dissipation: approaches, methods, and applications, Margulis distributions for Anosov flows, The work of Federico Rodriguez Hertz on ergodicity of dynamical systems, On small gaps in the length spectrum, Invariant curves for a delay differential equation with a piecewise constant argument, Periodic and eventually periodic points of affine infra-nilmanifold endomorphisms, Ergodic hyperbolic attractors of endomorphisms, Equivalences between nonuniform exponential dichotomy and admissibility, Torsion and closed geodesics on complex hyperbolic manifolds, On structural stability for semiflows, Methods of evaluation and scale of functional spaces, Geometrically finite groups, Patterson-Sullivan measures and Ratner's rigidity theorem, Invariants for smooth conjugacy of hyperbolic dynamical systems. II, Topological \(\Omega\)-stability of axiom A flows with no- \(\Omega\)- explosions, On inverse limit stability for maps, A proof of the \(C^ 1\) stability conjecture, Cryptography with chaos and shadowing, Real analytic metrics on \(S ^{2}\) with total absence of finite blocking, Singular relative integral invariants and adiabatic processes of thermodynamics, Topological classification of one-dimensional attractors and repellers of \(A\)-diffeomorphisms of surfaces by means of automorphisms of fundamental groups of supports, Vector fields with stable shadowable property on closed surfaces, \({\mathcal A}\)-stability of global attractors of competition diffusion systems, Generic measures for hyperbolic flows on non-compact spaces, On the mathematical transport theory in microporous media: the billiard approach, Ergodic measures of geodesic flows on compact Lie groups, On \(C^1\)-generic chaotic systems in three-manifolds, Energy decay for the damped wave equation under a pressure condition, On the ergodic properties of nowhere dispersing billiards, Description of \(\pi\)-partition of a diffeomorphism with invariant measure, Line integration of Ricci curvature and conjugate points in Lorentzian and Riemannian manifolds, The convergence of zeta functions for certain geodesic flows depends on their pressure, The Weil-Petersson geodesic flow is ergodic, Nonabsolutely continuous foliations for an Anosov diffeomorphism, The spectrum of the adjoint representation and the hyperbolicity of dynamical systems, The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms, On the ergodicity of frame flows, Singularity of projections of 2-dimensional measures invariant under the geodesic flow, An \(n\) center problem as an example of a geodesic billiard map with singularities: Poincaré maps and dynamics, Persistence of laminations, Oseledets regularity functions for Anosov flows, Differentiability and analyticity of topological entropy for Anosov and geodesic flows, On the calculation of quantum mechanical ground states from classical geodesic motion on certain spaces of constant negative curvature, C\({}^ k\)-rigidity for hyperbolic flows. II, Symbolic dynamics for geodesic flows, Cross ratios, surface groups, \(\text{PSL}(n,\mathbb R)\) and diffeomorphisms of the circle, New criteria for ergodicity and nonuniform hyperbolicity, Quasiconformal Anosov flows and quasisymmetric rigidity of Hamenstädt distances, Shadowing is generic -- a continuous map case, A note on hyperbolic flows in sub-Riemannian structures with transverse symmetries, The magnetic ray transform on Anosov surfaces, Persistently expansive geodesic flows, On the creation of conjugate points, Absolute continuity, Lyapunov exponents and rigidity. I: Geodesic flows, Effective uniqueness of Parry measure and exceptional sets in ergodic theory, Diffeomorphisms with positive metric entropy, Hölder foliations, A local trace formula for Anosov flows, Singular cw-expansive flows, On robustness of orbit spaces for partially hyperbolic endomorphisms, Unbounded energy growth in Hamiltonian systems with a slowly varying parameter, Defect-controlled numerical methods and shadowing for chaotic differential equations, Shadowing and iterative interpolation for Čebyšev mixing transformations, Existence of heterodimensional cycles near shilnikov loops in systems with a \(\mathbb{Z}_2\) symmetry, Bootstrap for local rigidity of Anosov automorphisms on the 3-torus, The MIXMAX random number generator, Chaos theory yesterday, today and tomorrow, Smooth conjugacy and S-R-B measures for uniformly and non-uniformly hyperbolic systems, Mostow rigidity and the Bishop-Steger dichotomy for surfaces of variable negative curvature, Infinitesimal conjugacies and Weil-Petersson metric, On the ergodicity of partially hyperbolic systems, The existence of a true solution of a differential equation in the neighbourhood of an approximate solution, Spectral deviations for the damped wave equation, \(\omega\)-limit sets for axiom A diffeomorphisms, Smooth partitions of Anosov diffeomorphisms are weak Bernoulli, Separating diffeomorphisms of the torus, Horospheres and the stable part of the geodesic flow, The topology of group extensions of C systems, Okamoto's space for the first Painlevé equation in Boutroux coordinates, Denseness of ergodicity for a class of volume-preserving flows, Weak mixing and unique ergodicity on homogeneous spaces, Topological transitivity of one class of dynamical systems and flows of frames on manifolds of negative curvature, Long-time dynamics of the perturbed Schrödinger equation on negatively curved surfaces, On the true nature of turbulence, Groups of symmetries of geodesic flows on closed surfaces, Exponential dichotomy property of systems of differential equations, On intrinsic randomness of dynamical systems, Horocycle flow on a surface of negative curvature is separating, Bounded solutions of nonlinear systems of differential equations, Rigidity of Hamenstädt metrics of Anosov flows, Turbulent solutions of a first order partial differential equation, The Lorenz attractor is mixing, Dynamical structure functions at critical bifurcations in a Bonhoeffer-van der Pol equation., Stable manifolds under very weak hyperbolicity conditions, Hyperbolic sets that are not contained in a locally maximal one, Ergodic properties of linear actions of \((2\times 2)\)-matrices, Lyapunov type characterization of hyperbolic behavior, Orbit counting for some discrete groups acting on simply connected manifolds with negative curvature, Truncated fractal basin boundaries in the pendulum with nonperiodic forcing, On the probability of finding nonphysical solutions through shadowing, About affine Anosov diffeomorphisms with differentiable stable and instable foliations, Stably ergodic diffeomorphisms which are not partially hyperbolic, Invariant Radon measures for horocycle flows on Abelian covers, Ergodicity of partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds, An optimization method for chaotic turbulent flow, On a version of the hyperbolic annulus principle, Shadowing orbits of ordinary differential equations, Chaotic system on the super Riemann surface, Bounded solutions of families of systems of differential equations and their approximations, Unstable dimension variability and codimension-one bifurcations of two-dimensional maps, Bounded orbits of Anosov flows, Gibbs measures for hyperbolic attractors defined by densities, On Livšic's theorem, superrigidity, and Anosov actions of semisimple Lie groups, Plasma living in a curved surface at some special temperature, Sectional-Anosov flows on certain compact 3-manifolds, New criteria for hyperbolicity based on periodic sets, Semihyperbolic mappings, Building thermodynamics for non-uniformly hyperbolic maps, Sufficient condition for the hyperbolicity of mappings of the torus, Construction of the Lyapunov spectrum in a chaotic system displaying phase synchronization, A note on expansiveness and hyperbolicity for generic geodesic flows, Remarks concerning hyperbolic sets, Equivariant symplectic homology of Anosov contact structures, Differential fields and geodesic flows. II: Geodesic flows of pseudo-Riemannian algebraic varieties, Rough diffeomorphisms with basic sets of codimension one, Polymorphisms, joinings, and the tensor simplicity of dynamical systems, Factorization of diffeomorphisms over phase portraits of vector fields on the plane, Conjugate dynamics on center-manifolds for stochastic partial differential equations, Geodesic motion on closed spaces: two numerical examples, Integral manifolds for semilinear evolution equations and admissibility of function spaces, Two generalized classes of exponentially dichotomous linear differential systems on the time half-line without uniform estimates for the solution norms. I, Differentiating the stochastic entropy for compact negatively curved spaces under conformal changes, The ergodicity of a class of almost Anosov systems, On the entropy of conservative flows, From the Newton version of the Kolmogorov-Arnol'd-Moser theory to a weakly dissipative version, The topology of symplectic partially hyperbolic automorphisms of the 4-torus, A multi-arc approach for chaotic orbit determination problems, \(C^1\) density of stable ergodicity, Physical measures and absolute continuity for one-dimensional center direction, Statistical regularities of self-intersection counts for geodesics on negatively curved surfaces, Volume-preserving diffeomorphisms with the \(\mathcal{M}_0\)-shadowing properties, Geometric mean curvature lines on surfaces immersed in \(\mathbb{R}^3\), Anosov flows, growth rates on covers and group extensions of subshifts, Decay of correlations for maps with uniformly contracting fibers and logarithm law for singular hyperbolic attractors, Robustly topological mixing of Kan's map, Artin billiard: exponential decay of correlation functions, A new proof of the existence of embedded surfaces with Anosov geodesic flow, Quasi-shadowing for partially hyperbolic flows, Scarring on invariant manifolds for perturbed quantized hyperbolic toral automorphisms, Quasi-shadowing and limit quasi-shadowing for quasi-partially hyperbolic strings of flows, Geometric and dynamical invariants of integrable Hamiltonian and dissipative systems, Diffeomorphisms with the \(\mathcal{M} _0\)-shadowing property, Manifolds without conjugate points, Cohomologically rigid vector fields: the Katok conjecture in dimension 3, Lyapunov exponents and rigidity of Anosov automorphisms and skew products, Rational factors, invariant foliations and algebraic disintegration of compact mixing Anosov flows of dimension \(3\), Differentiability, rigidity and Godbillon-Vey classes for Anosov flows, Geodesic flow of nonstrictly convex Hilbert geometries, Chaotic Delone sets, Weak shadowing for actions of some finitely generated groups on non-compact spaces and related measures, Uniform structures and the equivalence of diffeomorphisms, Limit theorems and Markov approximations for chaotic dynamical systems, A shadowing theorem for ordinary differential equations, Nonwandering continuum possessing the Wada property, Entropy along expanding foliations, Shadowing is generic on dendrites, Formulas for the derivative and critical points of topological entropy for Anosov and geodesic flows, Shadowing for families of endomorphisms of generalized group shifts, Ergodic and topological properties of coulombic periodic potentials, Application of quadratic forms in the theory of invariant manifolds, Synchronization of canonical measures for hyperbolic attractors, Some remarks on foliated \(S^ 1\) bundles, Hölder regularity of horocycle foliations., Special directions on contact metric manifolds of negative \(\xi\)-sectional curvature, Horseshoes for Anosov systems on fibers driven by an equicontinuous system, Hamiltonian chaos and differential geometry of configuration space-time, Universal mixers in all dimensions, Special directions on contact metric three-manifolds, Calabi-Yau CFTs and random matrices, A generalized Lipschitz shadowing property for flows, On the time evolution of statistical states for Anosov systems, Topological transitivity of cylindrical cascades, Horocycle averages on closed manifolds and transfer operators, Dynamical systems - 7. Dedicated to the 60th birthday of D. V. Anosov, Smooth mixing Anosov flows in dimension three are exponentially mixing, On the mixing property for hyperbolic systems, Hele-Shaw flow on hyperbolic surfaces, A Hartman-Grobman theorem for the Cahn-Hilliard and phase-field equations, Hyperbolicity criterion for torus endomorphisms, Open and dense topological transitivity of extensions by non-compact fiber of hyperbolic systems: a review, On some modifications of Arnold's cat map, Variety of integrable cases in dynamics of low- and multi-dimensional rigid bodies in nonconservative force fields, Hyperbolic automorphisms of tori and pseudo-random sequences, Conjugate and cut points in ideal fluid motion, Unnamed Item, Unnamed Item, The second law of thermodynamics as a deterministic theorem for quantum spin systems, Anosov flows on -manifolds: the surgeries and the foliations, Differentiating potential functions of SRB measures on hyperbolic attractors, Plane affine geometry and Anosov flows, Unnamed Item, Helicity, linking and the distribution of null-homologous periodic orbits for Anosov flows*, On bundles that admit fiberwise hyperbolic dynamics, Geodesic flows and isotropic flows, SHADOWING AND DYNAMICAL SYNTHESIS, Verification of the Hamilton flow conditions associated with Weyl's conjecture, A hyperbolicity criterion for a class of diffeomorphisms of an infinite-dimensional torus, 𝐻-cobordisms with foliated control, Deformation rigidity for subgroups of 𝑆𝐿(𝑛,𝐙) acting on the 𝐧-torus, Geodesic flows on negatively curved manifolds and the semi-classical zeta function, Understanding Chaotic Dynamical Systems, Markov cell structures, The zeta functions of Ruelle and Selberg. I, The Selberg zeta function and scattering poles for Kleinian groups, Algebraic 𝐾-theory of hyperbolic manifolds, On the number of ergodic physical/SRB measures of singular-hyperbolic attracting sets, Unnamed Item, On fixed points of continuous mappings associated with construction of artificial neural networks, Topological conjugacy and structural stability for discrete dynamical systems, Comparing chaotic and random dynamical systems, ROBUST SPECIAL ANOSOV ENDOMORPHISMS, Quantum limits of Eisenstein series in ℍ³, Unnamed Item, D. V. Anosov and our road to partial hyperbolicity, Topological rigidity for hyperbolic manifolds, Angular self-intersections for closed geodesics on surfaces, Simple closed geodesics on regular tetrahedra in Lobachevsky space, Solenoidal attractors of diffeomorphisms of annular sets, Prevalence of non-Lipschitz Anosov foliations, Gibbs measures for foliated bundles with negatively curved leaves, Un exemple de transformation dilatante et C1 par morceaux de l'intervalle, sans probabilité absolument continue invariante, Contact Anosov flows and the Fourier–Bros–Iagolnitzer transform, On genericity of shadowing in one dimension, Expanding maps on Cantor sets and analytic continuation of zeta functions, Approximating Linear Response by Nonintrusive Shadowing Algorithms, Perturbations of normally hyperbolic manifolds with applications to the Navier-Stokes equations, Partially hyperbolic \(\Sigma\)-geodesic flows, Solutions of systems of differential equations, bounded with respect to part of the variables, The dynamical systems approach to differential equations, Shadowing pseudo-orbits and gradient descent noise reduction, Accessibility and stable ergodicity for partially hyperbolic diffeomorphisms with 1D-center bundle, Numerical orbits of chaotic processes represent true orbits, Bubbling bifurcation: Loss of synchronization and shadowing breakdown in complex systems, On the Hadamard-Perron lemma, Differentiability of entropy for Anosov and geodesic flows, Statistical properties of chaotic systems, Incomplete markets and volatility, Dimension product structure of hyperbolic sets, Invariant manifolds, Precise counting results for closed orbits of Anosov flows, Dichotomy of solutions of functional-differential equations in the Sobolev space, Functional stochastic classical mechanics, Partially hyperbolic dynamics in dimension three, On the ergodicity of hyperbolic Sinaĭ–Ruelle–Bowen measures II: the low-dimensional case, Rigidity for partially hyperbolic diffeomorphisms, Does the hyperbolicity of periodic orbits of a geodesic flow without conjugate points imply the Anosov property?, On a theorem of Anosov, Stable ergodicity, Tangent fields of transversal foliations in 'U-systems', Classification of Morse–Smale systems and topological structure of the underlying manifolds, Smooth topologically transitive dynamic systems, Markov partitions and \(C\)-diffeomorphisms, Unnamed Item, Two theorems concerning variational systems of smooth dynamical systems, Zur Theorie der charakteristischen Lyapunovschen Exponenten, An example of an amenable action from geometry, Geodätischer Fluß auf Mannigfaltigkeiten vom hyperbolischen Typ, Invariant measure with maximal entropy for a U-diffeomorphism, Foliations, The stable manifold of a point of a hyperbolic map of a Banach space, Diffeomorphisms with invariant line bundles, Homology properties of Y-systems, Ergodicity of Anosov actions, Geometry of symplectic partially hyperbolic automorphisms on 4-torus, Certain measures associated with U-flows on compact manifolds, A central limit theorem for periodic orbits of hyperbolic flows, Pathology of invariant sets in the monkey saddle, Topology of Pollicott-Ruelle resonant states, A shadowing result with applications to finite element approximation of reaction-diffusion equations, New examples of stably ergodic diffeomorphisms in dimension 3, Ergodic properties of the quantum geodesic flow on tori, An Upper Bound for the Volumes of Complements of Periodic Geodesics, Necessary and sufficient conditions for the conjugacy of Smale regular homeomorphisms, Stability of Anosov Maps, Application of methods of the theory of limit theorems to problems of determining the reliability of complex systems, Entropy Rigidity, Pressure Metric, and Immersed Surfaces in Hyperbolic 3-Manifolds, Harmonic 1-forms on the stable foliation, Expansive dynamics and hyperbolic geometry, Cartan connections and path structures with large automorphism groups, Absolute continuity, Lyapunov exponents, and rigidity II: systems with compact center leaves, Superspace and global stability in general relativity, Foliations with good geometry, The Regularity of the Linear Drift in Negatively Curved Spaces, Canonical perturbation theory of Anosov systems, and regularity results for the Livsic cohomology equation, On the topological structure of manifolds supporting axiom a systems, Anosov endomorphisms on the two-torus: regularity of foliations and rigidity, Perturbations of nonhyperbolic algebraic automorphisms of the 2-torus, On the quasi-hyperbolic regime in a certain family of 2-D piecewise linear maps, On the ergodicity of geodesic flows on surfaces without focal points, Average shadowing and gluing property, Geodesic flows modeled by expansive flows: compact surfaces without conjugate points and continuous Green bundles, On some properties of the shift on an infinite-dimensional torus, What's decidable about discrete linear dynamical systems?, Closed geodesics with prescribed intersection numbers, Construction of Anosov flows in dimension 3 by gluing blocks, Measurable weighted shadowing for random dynamical systems on Banach spaces, Shadowing, transitivity and a variation of omega-chaos, Symplectic partially hyperbolic automorphisms of 6-torus, S-limit shadowing implies the denseness of chain components with the shadowing property, Conditions for atomic disintegration to be monoatomic, Smale regular and chaotic A-homeomorphisms and A-diffeomorphisms, S-limit shadowing is generic for continuous Lebesgue measure-preserving circle maps, Robust exponential mixing and convergence to equilibrium for singular-hyperbolic attracting sets, Theory of invariant manifold and foliation and uniqueness of center manifold dynamics, Macroscopic limits of chaotic eigenfunctions