Application of chaos degree to some dynamical systems

DOI10.1016/S0960-0779(99)00050-8zbMath0960.37009arXivmath-ph/9809026OpenAlexW1980490616MaRDI QIDQ1573956

Kei Inoue, Keiko Sato, Masanori Ohya

Publication date: 9 August 2000

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

Full work available at URL: https://arxiv.org/abs/math-ph/9809026

zbMATH Keywords

Bernoulli shiftchaoticityentropic chaosBaker's transformation

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

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Firefly algorithm approach based on chaotic tinkerbell map applied to multivariable PID controller tuning ⋮ Semiclassical properties and chaos degree for the quantum Baker’s map ⋮ Non-Kolmogorovian approach to the context-dependent systems breaking the classical probability law ⋮ On the description of self-similarity for attractors by means of conditional entropy ⋮ Analysis of the limit values of chaos degree for infinite number of partitions in asymmetric tent maps ⋮ On a Combined Quantum Baker's Map and Its Characterization by Entropic Chaos Degree ⋮ How to Classify Influenza A Viruses and Understand Their Severity ⋮ An extension of the entropic chaos degree and its positive effect

Cites Work

• The asymptotic behavior of \(\epsilon\)-entropy of a compact positive operator
• Absolutely continuous measures for certain maps of an interval
• Complexities and their applications to characterization of chaos
• Information dynamics and open systems. Classical and quantum approach
• Chaos
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