Genericity of symplectic diffeomorphisms of \(S^2\) with positive topological entropy. A remark on: ``Planar homoclinic points by P. Dixon and ``On the generic existence of homoclinic points by F. Oliveira.

DOI10.1007/BF02178369zbMath1081.37508OpenAlexW2003785815MaRDI QIDQ1593268

Howard Weiss

Publication date: 16 January 2001

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02178369

zbMATH Keywords

chaostopological entropygenericity

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (2)

Dynamics of two-dimensional time-periodic Euler fluid flows ⋮ Homoclinic orbits for area preserving diffeomorphisms of surfaces

Cites Work

• Unnamed Item
• Volume growth and entropy
• Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
• Planar homoclinic points
• On Morse-Smale dynamical systems
• A structural stability theorem
• The existence of periodic points
• Nonexistence of integrals for canonical systems of differential equations

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