Renormalizable expanding Baker maps: coexistence of strange attractors

DOI10.3934/dcds.2017068zbMath1379.37077OpenAlexW2565898005MaRDI QIDQ525541

Enrique Vigil, Antonio Pumariño, José Angel Rodríguez

Publication date: 5 May 2017

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2017068

zbMATH Keywords

piecewise linear maprenormalizationstrange attractorBaker maps

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (5)

Renormalization of two-dimensional piecewise linear maps: abundance of 2-D strange attractors ⋮ Emergence of strange attractors from singularities ⋮ Splitting and coexistence of 2-D strange attractors in a general family of Expanding Baker Maps ⋮ Strictly invariant sets for 2-D tent maps: 2-D strange attractors ⋮ Persistent two-dimensional strange attractors for a two-parameter family of expanding Baker maps

Cites Work

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• Coexistence and persistence of infinitely many strange attractors
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• Renormalization on the n-dimensional torus
• Topics from One-Dimensional Dynamics
• Chaotic dynamics for two-dimensional tent maps

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