most citedSome non-hyperbolic systems with strictly non-zero Lyapunov exponents for all invariant measures: Horseshoes with internal tangencies

1 citations · 1 across the 2 of their papers we have counts for

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2 papers

math.DS2003

A minimum principle for Lyapunov exponents and a higher-dimensional version of a Theorem of Mane'

Yongluo Cao, Stefano Luzzatto, Isabel Rios

We consider compact invariant sets Λfor C^{1} maps in arbitrary dimension. We prove that if Λcontains no critical points then there exists an invariant probability measure with a L…

math.DS2003★ 1 cited

Some non-hyperbolic systems with strictly non-zero Lyapunov exponents for all invariant measures: Horseshoes with internal tangencies

Yongluo Cao, Stefano Luzzatto, Isabel Rios

We study the hyperbolicity of a class of horseshoes exhibiting an internal tangency, i.e. a point of homoclinic tangency accumulated by periodic points. In particular these systems…