Local perturbations of conservativeC1diffeomorphisms
From MaRDI portal
Publication:5368883
DOI10.1088/1361-6544/aa803fzbMath1380.37042arXiv1612.06914OpenAlexW3102147438MaRDI QIDQ5368883
Todd Fisher, Jérôme Buzzi, Sylvain Crovisier
Publication date: 11 October 2017
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.06914
Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Generic properties, structural stability of dynamical systems (37C20) Homoclinic and heteroclinic orbits for dynamical systems (37C29)
Related Items (4)
The entropy of 𝐶¹-diffeomorphisms without a dominated splitting ⋮ Robustly non-hyperbolic transitive symplectic dynamics ⋮ Billiards in generic convex bodies have positive topological entropy ⋮ Topological pressure for conservative C 1 -diffeomorphisms with no dominated splitting
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Realization of tangent perturbations in discrete and continuous time conservative systems
- On the regularization of conservative maps
- Nonuniform hyperbolicity for \(C^{1}\)-generic diffeomorphisms
- Connecting invariant manifolds and the solution of the \(C^ 1\) stability and \(\Omega\)-stability conjectures for flows
- The Lyapunov exponents of generic volume-preserving and symplectic maps
- Partial hyperbolicity for symplectic diffeomorphisms
- A \(C^1\)-generic dichotomy for diffeomorphisms: weak forms of hyperbolicity or infinitely many sinks of sources
- Homoclinic tangencies and hyperbolicity for surface diffeomorphisms
- Partial hyperbolicity and robust transitivity
- Correction to: Connecting invariant manifolds and the solution of the \(C^1\) stability and \(\Omega\)-stability conjectures for flows.
- An ergodic closing lemma
- Symbolic extensions and dominated splittings for generic \(C^1\)-diffeomorphisms
- The \(C^{1+\alpha}\) hypothesis in Pesin theory revisited
- Generation of homoclinic tangencies by \(C^1\)-perturbations
- A Franks’ lemma that preserves invariant manifolds
- Perturbation of the Lyapunov spectra of periodic orbits
- A lower bound for topological entropy of generic non-Anosov symplectic diffeomorphisms
- The C1 Closing Lemma, including Hamiltonians
- Perturbations of the derivative along periodic orbits
- Partial hyperbolicity or dense elliptic periodic points for 𝐶¹-generic symplectic diffeomorphisms
- Generic bi-Lyapunov stable homoclinic classes
- Quasi-Elliptic Periodic Points in Conservative Dynamical Systems
- Homoclinic tangencies and dominated splittings
- The generic symplectic C^{1}-diffeomorphisms of four-dimensional symplectic manifolds are hyperbolic, partially hyperbolic or have a completely elliptic periodic point
- Genericity of zero Lyapunov exponents
- AC1generic condition for existence of symbolic extensions of volume preserving diffeomorphisms
- Internal perturbations of homoclinic classes: non-domination, cycles, and self-replication
- On the conservative pasting lemma
- The Closing Lemma
- Generic Properties of Conservative Systems
- Necessary Conditions for Stability of Diffeomorphisms
- Dynamiques symplectiques génériques
- Recurrence and genericity
This page was built for publication: Local perturbations of conservativeC1diffeomorphisms