Hierarchical structures in the phase space and fractional kinetics: I. Classical systems

DOI10.1063/1.166481zbMath0965.82015OpenAlexW2015442833WikidataQ73462845 ScholiaQ73462845MaRDI QIDQ4515133

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Publication date: 12 November 2000

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.166481

zbMATH Keywords

chaotic transportfractional kineticschaos erasingcharacteristic exponents of transportdistribution of Poincaré recurrenceslog periodicitynonuniversality of transport

Mathematics Subject Classification ID

Nonlinear dynamics in mechanics (70K99) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Dynamical aspects of statistical mechanics (37A60)

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Cites Work

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• Pesin’s dimension for Poincaré recurrences
• Fractional kinetic equations: solutions and applications
• Chaotic transmission of waves and “cooling” of signals

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