Entropy-expansiveness and domination for surface diffeomorphisms

DOI10.5209/rev_REMA.2008.v21.n2.16370zbMath1151.37032MaRDI QIDQ949060

José L. Vieitez, Maria Jose Pacifico

Publication date: 20 October 2008

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/42313

zbMATH Keywords

dominated splittinghomoclinic tangencyentropy-expansivenesssymbolic extensionhomoclinic classes

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Partially hyperbolic systems and dominated splittings (37D30) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (18)

N-expansive homeomorphisms on surfaces ⋮ Dominated splitting, partial hyperbolicity and positive entropy ⋮ Weak expansion properties and large deviation principles for expanding Thurston maps ⋮ Countably and entropy expansive homeomorphisms with the shadowing property ⋮ On R-robustly entropy-expansive diffeomorphisms ⋮ Asymptotic measure expansive diffeomorphisms ⋮ Different asymptotic behavior versus same dynamical complexity: recurrence \& (ir)regularity ⋮ New cw-expansive homeomorphisms of surfaces ⋮ Symbolic extensions and dominated splittings for generic \(C^1\)-diffeomorphisms ⋮ \(\mathcal{C}^{2}\) surface diffeomorphisms have symbolic extensions ⋮ Transitively-saturated property, Banach recurrence and Lyapunov regularity ⋮ Beyond topological hyperbolicity: the L-shadowing property ⋮ Dendritations of surfaces ⋮ Random entropy expansiveness for diffeomorphisms with dominated splittings ⋮ On measure expansive diffeomorphisms ⋮ Metric entropy for set-valued maps ⋮ Topological entropy on points without physical-like behaviour ⋮ Anomalous cw-expansive surface homeomorphisms

This page was built for publication: Entropy-expansiveness and domination for surface diffeomorphisms