Topological horseshoes for surface homeomorphisms
From MaRDI portal
Publication:2081381
DOI10.1215/00127094-2022-0057OpenAlexW2963011988MaRDI QIDQ2081381
Patrice Le Calvez, Fabio A. Tal
Publication date: 13 October 2022
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.04557
Topological entropy (37B40) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Flows on surfaces (37E35)
Related Items
Zero entropy and stable rotation sets for monotone recurrence relations ⋮ Transitivity and the existence of horseshoes on the 2-torus ⋮ Decomposing dynamics via components of rotation sets ⋮ Hofer's geometry and topological entropy ⋮ Sur les ensembles de rotation des homéomorphismes de surface en genre ≥ 2 ⋮ Mather's regions of instability for annulus diffeomorphisms
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of a topological foliation transverse to the dynamics of a homeomorphism
- Realizing rotation numbers on annular continua
- Renormalization in the Hénon family. II: The heteroclinic web
- An equivariant foliated version of Brouwer's translation theorem
- Periodic orbits and chain-transitive sets of \(C^1\)-diffeomorphisms
- Generalizations of the Poincaré-Birkhoff theorem
- Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
- Rotation sets and monotone periodic orbits for annulus homeomorphisms
- An index theorem for the homeomorphisms of the plane near a fixed point
- Fixed points and circle maps
- Forcing theory for transverse trajectories of surface homeomorphisms
- Rotation intervals and entropy on attracting annular continua
- Invariant circles and the order structure of periodic orbits in monotone twist maps
- The Conley index and symbolic dynamics
- Entropy zero area preserving diffeomorphisms of \(S^{2}\)
- Fixed point sets of isotopies on surfaces
- Renormalization in the Hénon family. I: Universality but non-rigidity
- Topological horseshoes
- Création de connexions en topologie C1
- Construction of curious minimal uniquely ergodic homeomorphisms on manifolds: the Denjoy–Rees technique
- Pourquoi les points périodiques des homéomorphismes du plan tournent-ils autour de certains points fixes ?
- A Minimal Positive Entropy Homeomorphism of the 2-Torus
- Rotation and periodicity in plane separating continua
- Wandering Domains for Infinitely Renormalizable Diffeomorphisms of the Disk
- Infinitely many moduli of stability at the dissipative boundary of chaos
- Rotation numbers for 𝑆² diffeomorphisms
- The local rotation set is an interval
- Differentiable dynamical systems