A remark on papers by pixton and oliveira: Genericity of symplectic diffeomorphisms of S2 with positive topological entropy

Howard Weiss

doi:10.1007/BF02178369

A remark on papers by pixton and oliveira: Genericity of symplectic diffeomorphisms of S² with positive topological entropy

Howard Weiss

Biology

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We prove the existence of an open and dense subset of maps fεDiff_ω^∞(S²) which have positive topological entropy. It follows that these maps have infinitely many hyperbolic periodic points and an exponential growth rate of hyperbolic periodic points. The proof is an application of Pixton's theorem

Original language	English (US)
Pages (from-to)	481-485
Number of pages	5
Journal	Journal of Statistical Physics
Volume	80
Issue number	1-2
DOIs	https://doi.org/10.1007/BF02178369
State	Published - Jul 1995

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF02178369

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title = "A remark on papers by pixton and oliveira: Genericity of symplectic diffeomorphisms of S2 with positive topological entropy",

abstract = "We prove the existence of an open and dense subset of maps fεDiffω∞(S2) which have positive topological entropy. It follows that these maps have infinitely many hyperbolic periodic points and an exponential growth rate of hyperbolic periodic points. The proof is an application of Pixton's theorem",

author = "Howard Weiss",

year = "1995",

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AB - We prove the existence of an open and dense subset of maps fεDiffω∞(S2) which have positive topological entropy. It follows that these maps have infinitely many hyperbolic periodic points and an exponential growth rate of hyperbolic periodic points. The proof is an application of Pixton's theorem

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ER -

A remark on papers by pixton and oliveira: Genericity of symplectic diffeomorphisms of S² with positive topological entropy

Abstract

All Science Journal Classification (ASJC) codes

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