Invariant manifolds and equilibrium states for non-uniformly hyperbolic horseshoes

DOI10.1088/0951-7715/19/11/009zbMath1190.37017arXivmath/0601553OpenAlexW2009596477MaRDI QIDQ3417591

Renaud Leplaideur, Isabel Rios

Publication date: 29 January 2007

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601553

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Invariant manifold theory for dynamical systems (37D10) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (13)

Kupka–Smale diffeomorphisms at the boundary of uniform hyperbolicity: a model ⋮ Equilibrium states for hyperbolic potentials ⋮ Thermodynamics of the Katok map ⋮ Equilibrium states for non-uniformly expanding maps: decay of correlations and strong stability ⋮ Expanding measures ⋮ Thermodynamical formalism for robust classes of potentials and non-uniformly hyperbolic maps ⋮ Thermodynamic formalism for a family of non-uniformly hyperbolic horseshoes and the unstable Jacobian ⋮ Existence, uniqueness and stability of equilibrium states for non-uniformly expanding maps ⋮ Equilibrium Measures at Temperature Zero for Hénon-Like Maps at the First Bifurcation ⋮ Equilibrium states for partially hyperbolic horseshoes ⋮ Destroying horseshoes via heterodimensional cycles: generating bifurcations inside homoclinic classes ⋮ On t-conformal measures and Hausdorff dimension for a family of non-uniformly hyperbolic horseshoes ⋮ Non-lacunary Gibbs measures for certain fractal repellers

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