Renormalizable expanding Baker maps: coexistence of strange attractors
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Publication:525541
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
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
- The dynamics of the Hénon map
- On iterations of \(1-\alpha x^2\) on \((-1,1)\)
- Infinitely many coexisting strange attractors
- Abundance of strange attractors
- Homoclinic tangencies for hyperbolic sets of large Hausdorff dimension
- Coexistence and persistence of strange attractors
- Diffeomorphisms with infinitely many sinks
- Expanding Baker maps as models for the dynamics emerging from 3D homoclinic bifurcations
- Attractors for return maps near homoclinic tangencies of three-dimensional dissipative diffeo\-morphisms
- Three-dimensional dissipative diffeomorphisms with homoclinic tangencies
- Coexistence and persistence of infinitely many strange attractors
- Piecewise Linear Bidimensional Maps as Models of Return Maps for 3D Diffeomorphisms
- Renormalization of Hénon Maps
- Renormalization in one-dimensional dynamics
- Cascades of period-doubling bifurcations: A prerequisite for horseshoes
- Dynamics near homoclinic bifurcations of three-dimensional dissipative diffeomorphisms
- Henon-like maps with strange attractors: there exist C∞Kupka-Smale diffeomorphisms on S2with neither sinks nor sources
- Renormalization on the n-dimensional torus
- Topics from One-Dimensional Dynamics
- Chaotic dynamics for two-dimensional tent maps
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