Peeling the onion of order and chaos in a high-dimensional Hamiltonian system

DOI10.1016/0167-2789(94)90187-2zbMath0810.70017arXivchao-dyn/9311009OpenAlexW2084444252MaRDI QIDQ1339242

Tetsuro Konishi, Kunihiko Kaneko

Publication date: 18 April 1995

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9311009

zbMATH Keywords

phase spacerepulsive interactionanomalous long-time correlationglobal diffusionsymplectic coupled map lattice

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Hamiltonian and Lagrangian mechanics (70H99)

Related Items (12)

Nonlinear dynamics in coupled fuzzy control systems. I: Coherence and chaos-frustration in triangle configuration ⋮ Remarks on the mean field dynamics of networks of chaotic elements ⋮ Collapse of hierarchical phase space and mixing rates in Hamiltonian systems ⋮ The production of Tsallis entropy in the limit of weak chaos and a new indicator of chaoticity ⋮ Characterizing the dynamics of higher dimensional nonintegrable conservative systems ⋮ Clusters die hard: Time-correlated excitation in the Hamiltonian mean field model ⋮ Chaotic and Arnold stripes in weakly chaotic Hamiltonian systems ⋮ Characterizing weak chaos in nonintegrable Hamiltonian systems: the fundamental role of stickiness and initial conditions ⋮ On the strength of attractors in a high-dimensional system: Milnor attractor network, robust global attraction, and noise-induced selection. ⋮ HIGH-DIMENSIONAL CHAOS IN DISSIPATIVE AND DRIVEN DYNAMICAL SYSTEMS ⋮ Emergence of power-law correlation in 1-dimensional self-gravitating system ⋮ Self-consistent chaotic transport in fluids and plasmas

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• AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS

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