Fractal dimensions as chaos indicators

DOI10.1023/A:1011157505026zbMATH Open1083.37511OpenAlexW4230980276MaRDI QIDQ5945031

Florian Freistetter

Publication date: 2000

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1011157505026

zbMATH Keywords

phase spacecorrelation dimensionchaos indicatorstickiness

Mathematics Subject Classification ID

Three-body problems (70F07) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fractals (28A80) Dynamical systems in classical and celestial mechanics (37N05) Dimension theory of smooth dynamical systems (37C45) Approximation methods and numerical treatment of dynamical systems (37M99)

Related Items (7)

Disentangling regular and chaotic motion in the standard map using complex network analysis of recurrences in phase space ⋮ Classifying 1D elementary cellular automata with the 0-1 test for chaos ⋮ Fractal dimension and logarithmic loss unpredictability. ⋮ Title not available (Why is that?) ⋮ Title not available (Why is that?) ⋮ The width of a chaotic layer ⋮ Detecting the state of the Duffing oscillator by phase space trajectory autocorrelation

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