Expansiveness and hyperbolicity in convex billiards
From MaRDI portal
Publication:2074784
DOI10.1134/S1560354721060125zbMath1490.37036OpenAlexW4200576355MaRDI QIDQ2074784
Maria Joana Torres, João Lopes Dias, Mário Bessa
Publication date: 10 February 2022
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1560354721060125
Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems with hyperbolic orbits and sets (37D05) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Dynamical systems with singularities (billiards, etc.) (37C83)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Geodesic flows with positive topological entropy, twist maps and hyperbolicity
- On \(C^1\)-robust transitivity of volume-preserving flows
- Focusing components in typical chaotic billiards should be absolutely focusing
- Creating transverse homoclinic connections in planar billiards
- Spectrum of the Poincaré map for periodic reflecting rays in generic domains
- Persistently expansive geodesic flows
- A note on expansiveness and hyperbolicity for generic geodesic flows
- Hyperbolicity and stability for Hamiltonian flows
- Hyperbolicity through stable shadowing for generic geodesic flows
- On shadowing and hyperbolicity for geodesic flows on surfaces
- Convex billiards on convex spheres
- Expansive one-parameter flows
- Shades of hyperbolicity for Hamiltonians
- A Note on Unstable Homeomorphisms
- Perturbations of the derivative along periodic orbits
- A Franks' lemma for convex planar billiards
- Periods of Multiple Reflecting Geodesics and Inverse Spectral Results
- On the number of periodic reflecting rays in generic domains
- Periodic orbits of generic oval billiards
- Homoclinic points near elliptic fixed points
