Homoclinic tangency and variation of entropy

DOI10.4171/PM/2055zbMath1482.37019arXiv1011.2465OpenAlexW3115072943MaRDI QIDQ2043308

Marcus Bronzi, Ali Tahzibi

Publication date: 30 July 2021

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.2465

zbMATH Keywords

diffeomorphismtopological entropyhomoclinic tangency

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Topological entropy (37B40) Dynamical systems with hyperbolic orbits and sets (37D05)

Related Items (1)

A consequence of the growth of rotation sets for families of diffeomorphisms of the torus

Cites Work

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• The entropy conjecture for diffeomorphisms away from tangencies
• Continuity of topological entropy for perturbation of time-one maps of hyperbolic flows
• Volume growth and entropy
• Hyperbolicity and the creation of homoclinic orbits
• Continuity properties of entropy
• Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
• On local constancy of topological entropy for certain partially hyperbolic diffeomorphisms
• Homoclinic tangencies and fractal invariants in arbitrary dimension
• Topological entropy and partially hyperbolic diffeomorphisms
• Topological entropy and equivalence of dynamical systems
• Critical saddle-node horseshoes: bifurcations and entropy
• On homoclinic tangencies, hyperbolicity, creation of homoclinic orbits and variation of entropy
• The entropy of 𝐶¹-diffeomorphisms without a dominated splitting
• Differentiable dynamical systems
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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