On expanding maps and topological conjugacy

DOI10.1080/10236190701396545zbMath1127.37024OpenAlexW2170862068MaRDI QIDQ5433505

Christoph Kawan

Publication date: 9 January 2008

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190701396545

zbMATH Keywords

hyperbolicityBanach's fixed point

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems involving maps of the interval (37E05)

Related Items (5)

A note on the conjugacy from Farey map to the skew tent map ⋮ Topological conjugacy of piecewise monotonic functions of nonmonotonicity height \(\geq 1\) ⋮ Simple proofs for the derivative estimates of the holomorphic motion near two boundary points of the Mandelbrot set ⋮ \(C^0\) conjugacy between PM functions with nonmonotonicity height equal to 1 ⋮ On conjugacy ofr-modal interval maps with non-monotonicity height equal to 1

Cites Work

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• Hyperbolicity of the invariant set for the logistic map with \(\mu>4\).
• Chaos, Cantor Sets, and Hyperbolicity for the Logistic Maps
• Almost Sure Escape from the Unit Interval under the Logistic Map
• An Elementary Proof for Hyperbolicity and Chaos of the Logistic Maps
• Endomorphisms of Compact Differentiable Manifolds

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