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

collaborators

3 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…

math.DS1998

The isolated saddle-node bifurcation occurring inside a horseshoe

Yongluo Cao, Shin Kiriki

In this paper, we consider a smooth arc of diffeomorphisms which has a saddle-node bifurcation inside a nontrivial invariant set which is a deformation of a horseshoe. We show that…