Generation of spines in porcupine-like horseshoes

DOI10.1088/0951-7715/28/11/4249zbMath1357.37019OpenAlexW2245905985MaRDI QIDQ3458809

T. Marcarini, Lorenzo J. Dıaz

Publication date: 23 December 2015

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/36f9cc60384b0ef083ad77bede795cd773920c31

zbMATH Keywords

Hausdorff dimensioniterated function systemtransitivityskew-producthomoclinic classheterodimensional cycleporcupine-like horseshoe

Mathematics Subject Classification ID

Symbolic dynamics (37B10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (2)

Invariant multi-graphs in step skew-products ⋮ The structure of the space of ergodic measures of transitive partially hyperbolic sets

Cites Work

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• Rich phase transitions in step skew products
• Destroying horseshoes via heterodimensional cycles: generating bifurcations inside homoclinic classes
• Almost complete Lyapunov spectrum in step skew-products
• Monotonicity of entropy for real multimodal maps
• SRB measures as zero-noise limits
• Antimonotonicity: Concurrent creation and annihilation of periodic orbits

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