Bifurcation and Hausdorff dimension in families of chaotically driven maps with multiplicative forcing

DOI10.1080/14689367.2013.781267zbMath1281.37016arXiv1208.2888OpenAlexW2030184132WikidataQ125101184 ScholiaQ125101184MaRDI QIDQ2844008

Atsuya Otani, Gerhard Keller

Publication date: 27 August 2013

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.2888

zbMATH Keywords

bifurcationglobal attractorHausdorff dimensionskew productstrange invariant graph

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamical aspects of attractors and their bifurcations (37G35) Bifurcation theory for random and stochastic dynamical systems (37H20)

Related Items (3)

Attracting graphs of skew products with non-contracting fiber maps ⋮ Chaotically driven sigmoidal maps ⋮ Stability index for chaotically driven concave maps

Cites Work

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• Multifractal structure of two-dimensional horseshoes
• What are SRB measures, and which dynamical systems have them?
• Variational principles and mixed multifractal spectra
• Two definitions of fractional dimension
• Semi-uniform ergodic theorems and applications to forced systems
• Entropy preservation under Markov coding.

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