Ergodicity, mixing, and recurrence in the three rotor problem

DOI10.1063/1.5141067zbMath1450.37079arXiv1910.04455OpenAlexW3104220427WikidataQ94480992 ScholiaQ94480992MaRDI QIDQ3303833

Govind S. Krishnaswami, Himalaya Senapati

Publication date: 4 August 2020

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

Full work available at URL: https://arxiv.org/abs/1910.04455

zbMATH Keywords

three-rotor problem, order-chaos-order transition, ergodicity, geodesic flow

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Dynamical systems in classical and celestial mechanics (37N05) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Dynamics of multibody systems (70E55)

Cites Work

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• Dynamical systems with elastic reflections
• Recurrence time statistics for finite size intervals

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