Characteristic exponents of chaotic repellers as eigenvalues

DOI10.1016/0375-9601(86)90415-9zbMath0679.58035OpenAlexW1994067857MaRDI QIDQ1822813

Tamás Tél

Publication date: 1986

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(86)90415-9

zbMATH Keywords

eigenvalue problemsemi-attractorschaotic repellersspectrum of characteristic exponents

Mathematics Subject Classification ID

Topological dynamics (37B99) Ergodic theorems, spectral theory, Markov operators (37A30) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Measure-theoretic ergodic theory (28D99)

Related Items (1)

Statistical properties of chaos demonstrated in a class of one-dimensional maps

Cites Work

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• The infinite number of generalized dimensions of fractals and strange attractors
• Generalizations of the Hausdorff dimension of fractal measures.
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• Repellers, semi-attractors, and long-lived chaotic transients
• Statistical description of chaotic attractors: the dimension function
• Conditionally invariant measures and exponential decay
• Escape from strange repellers
• Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier
• Ergodic theory of chaos and strange attractors

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