Generic one-parameter families of vector fields on two-dimensional manifolds
From MaRDI portal
Publication:1843116
DOI10.1007/BF02684365zbMath0279.58008WikidataQ98417748 ScholiaQ98417748MaRDI QIDQ1843116
Publication date: 1973
Published in: Publications Mathématiques (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=PMIHES_1974__43__5_0
Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Stability theory for smooth dynamical systems (37C75)
Related Items
Canonical forms for codimension one planar piecewise smooth vector fields with sliding region, Generic properties of the rotation number of one-parameter diffeomorphisms of the circle, Heteroclinic orbits for retarded functional differential equations, CLASSIFICATION OF PERIODIC DIFFERENTIAL EQUATIONS BY DEGREES OF NON-ROUGHNISS, Axial curvature cycles of surfaces immersed in \(\mathbb{R}^4\), Principal curvature lines near a partially umbilic point of codimension one, Codimension-one singularities of constrained systems on \(\mathbb{R}^3\), Discretizing the fold bifurcation - a conjugacy result, Differentiable dynamical systems, Positive quadratic differential forms: Linearization, finite determinacy and versal unfolding, Global bifurcations in the two-sphere: a new perspective, Global Structural Stability of a Saddle Node Bifurcation, Normal Forms for Codimension One Planar Piecewise Smooth Vector Fields, Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. The cusp case of codimension 3, Numeric invariants in semilocal bifurcations, Axiumbilic Singular Points on Surfaces Immersed in R^4 and their Generic Bifurcations, Several results on the families of diffeomorphisms onS 1, Homotopically unbounded disks for generic surface diffeomorphisms, On structural stability of evolutionary stable strategies, Generic bifurcations of second order ordinary differential equations near closed orbits, Evolutionary stable strategies and cubic vector fields, Generic bifurcations of low codimension of planar Filippov systems, Normal forms, holomorphic linearization and generic bifurcations of dynamic equations on discrete time scales, Tightness in contact metric 3-manifolds, Unnamed Item, A non-transverse homoclinic orbit to a saddle-node equilibrium, Interaction of diffusion and boundary conditions, Bifurcations of the ‘heart’ polycycle in generic 2-parameter families, Singularities of vector fields arising from one-dimensional Riemann problems, Basin of attraction of a cusp-fold singularity in 3D piecewise smooth vector fields, Genericity of the Strong Observability for Sampled Systems, New structurally unstable families of planar vector fields, Global bifurcations in generic one-parameter families on \(\mathbb{S}^2\), ON THREE-PARAMETER FAMILIES OF FILIPPOV SYSTEMS — THE FOLD–SADDLE SINGULARITY, SEMISTABLE LIMIT CYCLES THAT BIFURCATE FROM CENTERS, Various closeness results in discretized bifurcations, On a list of ordinary differential equations problems, On the period of the limit cycles appearing in one-parameter bifurcations, Local structural stability of \(C^2\) integrable 1-forms, Stability and regularity in bifurcations of planar vector fields, Bifurcations of umbilic points and related principal cycles, Behavior near constant solutions of functional differential equations, Generic bifurcation in manifolds with boundary, Codimension-two singularities of reversible vector fields in 3D, Vector fields on manifolds with boundary and reversibility -- An expository account, Singularites des champs de vecteurs et existence d'integrales premieres, Singularities of vector fields on the plane, On the bifurcation of maps of the interval, Persistent properties of bifurcations, The Fuller index and global Hopf bifurcation, Classification of gradient-like flows on dimensions two and three, Bifurcation to divergence and flutter in flow-induced oscillations: An infinite dimensional analysis, Vector fields tangent to a Reeb foliation on \(S^3\), Stability conditions for reversible and partially integrable systems, Phase portraits of (2;0) reversible vector fields with symmetrical singularities, Vector fields tangent to a reeb foliation on \(S^3\), Persistence of periodic traveling waves and abelian integrals, Unnamed Item, Recent developments in the study of singularities of vectorfields, Qualitative theory of flows on surfaces (a review), Shilnikov problem in Filippov dynamical systems, Local structural stability of \(C^2\) integrable 1-forms, The Closing Lemma for Generalized Recurrence in the Plane, First steps of the global bifurcation theory in the plane, Stability conditions for refractive partially integrable piecewise smooth vector fields, Singularities of vector fields, Strong Differential Observability for Sampled-Time Systems, A class of vectorfields on \(S^ 2\) that are topologically equivalent to polynomial vectorfields, Bifurcations of a particular forced van der Pol oscillator, Modulus of stability for vectorfields on 3-manifolds, Stability of a saddle node bifurcation under numerical approximations, On moduli of stability of two-dimensional vector fields
Cites Work
- Structural stability on two-dimensional manifolds
- On an approximation theorem of Kupka and Smale
- Limit-cycles and rotated vector fields
- Integral Equivalence of Vector Fields on Manifolds and Bifurcation of Differential Systems
- The Closing Lemma
- Differentiable dynamical systems
- On structural stability
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item