Topological dynamics of two-piece eventually expanding maps

DOI10.1016/J.AML.2007.10.022zbMath1149.37019OpenAlexW2050367420MaRDI QIDQ952719

Youngna Choi

Publication date: 14 November 2008

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2007.10.022

zbMATH Keywords

attractorinvariant measureLorenz attractorgeometric modelexpanding map

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Cites Work

• Structural stability of Lorenz attractors
• Attractors from one dimensional Lorenz-like maps
• Topology of attractors from two-piece expanding maps
• On the Existence of Invariant Measures for Piecewise Monotonic Transformations
• Ergodic Transformations from an Interval Into Itself
• Singular strange attractors on the boundary of Morse-Smale systems

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