Global multifractal relation between topological entropies and fractal dimensions

DOI10.1016/j.chaos.2004.05.036zbMath1071.37017OpenAlexW2094746914MaRDI QIDQ1771629

Wei-Bin Zhai, Xiao-Zhou Chen, Ke-Fei Cao

Publication date: 18 April 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.05.036

zbMATH Keywords

attractorschaotic dynamicsiterated function systemLyapunov exponentfractal dimensionstopological entropies

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fractals (28A80) Topological entropy (37B40) Dynamical systems involving maps of the interval (37E05) Dimension theory of smooth dynamical systems (37C45)

Related Items (2)

The entropies and multifractal spectrum of some compact systems ⋮ ON HAUSDORFF DIMENSION AND TOPOLOGICAL ENTROPY

Cites Work

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