Renormalization and \(\alpha\)-limit set for expanding Lorenz maps

DOI10.3934/dcds.2011.29.979zbMath1228.37032arXivmath/0703777OpenAlexW2011783188MaRDI QIDQ632351

Yiming Ding

Publication date: 15 March 2011

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

Full work available at URL: https://arxiv.org/abs/math/0703777

zbMATH Keywords

renormalization\(\alpha\)-limit setexpanding Lorenz map

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems involving maps of the interval (37E05) Universality and renormalization of dynamical systems (37E20)

Related Items (6)

\(\alpha\)-limit sets and Lyapunov function for maps with one topological attractor ⋮ Fiber denseness of intermediate β-shifts of finite type ⋮ Mixing properties in expanding Lorenz maps ⋮ Renormalization and conjugacy of piecewise linear Lorenz maps ⋮ On Hausdorff Dimension of Invariant Sets for a Class of Piecewise Linear Maps ⋮ A topological classification of interval mappings with finitely many discontinuous points

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