Flexible periodic points
From MaRDI portal
Publication:3195367
DOI10.1017/etds.2013.105zbMath1352.37076arXiv1212.1634OpenAlexW1979966682MaRDI QIDQ3195367
Katsutoshi Shinohara, Christian Bonatti
Publication date: 16 October 2015
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1212.1634
Periodic orbits of vector fields and flows (37C27) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Invariant manifold theory for dynamical systems (37D10)
Related Items
Cites Work
- On the index problem of \(C^1\)-generic wild homoclinic classes in dimension three
- Connecting invariant manifolds and the solution of the \(C^ 1\) stability and \(\Omega\)-stability conjectures for flows
- On maximal transitive sets of generic 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
- An ergodic closing lemma
- SRB measures for partially hyperbolic systems whose central direction is mostly contracting
- Diffeomorphisms with infinitely many sinks
- Generation of homoclinic tangencies by \(C^1\)-perturbations
- Stabilization of heterodimensional cycles
- Perturbation of the Lyapunov spectra of periodic orbits
- SURVEY Towards a global view of dynamical systems, for the C1-topology
- Perturbations of the derivative along periodic orbits
- Periodic points and homoclinic classes
- ROBUST HETERODIMENSIONAL CYCLES AND $C^1$-GENERIC DYNAMICS
- Homoclinic tangencies and dominated splittings
- Internal perturbations of homoclinic classes: non-domination, cycles, and self-replication
- Recurrence and genericity
