Perturbations of the derivative along periodic orbits
From MaRDI portal
Publication:3419196
DOI10.1017/S0143385706000253zbMath1175.37027MaRDI QIDQ3419196
Nicolas Gourmelon, Thérèse Vivier, Christian Bonatti
Publication date: 6 February 2007
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Dynamics induced by flows and semiflows (37C10) Generic properties, structural stability of dynamical systems (37C20) Partially hyperbolic systems and dominated splittings (37D30)
Related Items (42)
Robustly chain transitive diffeomorphisms ⋮ A dichotomy in area-preserving reversible maps ⋮ Robust chain transitive vector fields ⋮ A Franks' lemma for convex planar billiards ⋮ Robustly shadowable chain transitive sets and hyperbolicity ⋮ Uniform hyperbolicity revisited: index of periodic points and equidimensional cycles ⋮ Flexible periodic points ⋮ Billiards in generic convex bodies have positive topological entropy ⋮ Diffeomorphisms with \(C^1\)-stably average shadowing ⋮ Cherry flow: physical measures and perturbation theory ⋮ On the notions of singular domination and (multi-)singular hyperbolicity ⋮ On the partial hyperbolicity of robustly transitive sets with singularities ⋮ Nonuniform hyperbolicity for \(C^{1}\)-generic diffeomorphisms ⋮ Infinitesimal Lyapunov functions for singular flows ⋮ Local perturbations of conservativeC1diffeomorphisms ⋮ Stably asymptotic average shadowing property and dominated splitting ⋮ Volume-preserving diffeomorphisms with the \(\mathcal{M}_0\)-shadowing properties ⋮ Stably inverse shadowable transitive sets and dominated splitting ⋮ A new proof of Franks' lemma for geodesic flows ⋮ Realization of tangent perturbations in discrete and continuous time conservative systems ⋮ Stable weakly shadowable volume-preserving systems are volume-hyperbolic ⋮ Dominated splitting versus small angles ⋮ On the existence of attractors ⋮ Stably weakly shadowing transitive sets and dominated splittings ⋮ On \(C^1\)-robust transitivity of volume-preserving flows ⋮ Internal perturbations of homoclinic classes: non-domination, cycles, and self-replication ⋮ Diffeomorphisms with the \(\mathcal{M} _0\)-shadowing property ⋮ Conservative flows with various types of shadowing ⋮ On Araujo's theorem for flows ⋮ Singular robustly chain transitive sets are singular volume partial hyperbolic ⋮ Symmetries of vector fields: the diffeomorphism centralizer ⋮ Bi-Lyapunov stable homoclinic classes for \(C^1\) generic flows ⋮ Sectional-hyperbolic systems ⋮ A Franks’ lemma that preserves invariant manifolds ⋮ Newhouse phenomenon and homoclinic classes ⋮ Flows with the (asymptotic) average shadowing property on three-dimensional closed manifolds ⋮ Expansiveness and hyperbolicity in convex billiards ⋮ A robustly chain transitive attractor with singularities of different indices ⋮ Morse-Smale systems and horseshoes for three dimensional singular flows ⋮ HYPERBOLICITY OF HOMOCLINIC CLASSES OF VECTOR FIELDS ⋮ Unnamed Item ⋮ Contributions to the geometric and ergodic theory of conservative flows
This page was built for publication: Perturbations of the derivative along periodic orbits