Non-uniformly hyperbolic horseshoes arising from bifurcations of Poincaré heteroclinic cycles

DOI10.1007/s10240-009-0023-xzbMath1181.37024arXivmath/0604174OpenAlexW2018823786WikidataQ102280905 ScholiaQ102280905MaRDI QIDQ1037848

Jean-Christophe Yoccoz, Jacob Palis

Publication date: 17 November 2009

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0604174

zbMATH Keywords

bifurcationHausdorff dimensionMarkov partitionhyperbolic horseshoePoincaré heteroclinic cycles

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20) Dimension theory of smooth dynamical systems (37C45)

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