The Memory Function and Chaos-Induced Friction in the Chaotic Henon-Heiles System

DOI10.1143/PTP.116.1051zbMath1113.37035OpenAlexW2076043692MaRDI QIDQ3443091

Shoichi Kuroki, Nobuyuki Mori, Hazime Mori, Hirotaka Tominaga, Ryuji Ishizaki

Publication date: 29 May 2007

Published in: Progress of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1143/ptp.116.1051

zbMATH Keywords

power spectrumHamiltonian dynamical systemstransport processestime correlation functionfrequency-dependent frictionintegrable linear evolution equationMori projection operatornon-Markovian linear stochastic equationrandomization of chaotic orbits

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Three-body problems (70F07) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Generation, random and stochastic difference and differential equations (37H10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems in classical and celestial mechanics (37N05)

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