From collective periodic running states to completely chaotic synchronised states in coupled particle dynamics

DOI10.1063/1.3594577zbMath1317.37041arXiv1108.4316OpenAlexW1985929174WikidataQ51552180 ScholiaQ51552180MaRDI QIDQ5264541

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Publication date: 27 July 2015

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

Full work available at URL: https://arxiv.org/abs/1108.4316

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Complex behavior and chaotic systems of ordinary differential equations (34C28) Dynamical systems with hyperbolic orbits and sets (37D05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (2)

Chaos-assisted quantum tunneling and delocalization caused by resonance or near-resonance ⋮ Transport properties of coupled Brownian particles confined to a microchannel in an asymmetric periodic potential

Cites Work

• Unnamed Item
• An equation for hyperchaos
• Directed transport of two interacting particles in a washboard potential
• Periodic and homoclinic motions in forced, coupled oscillators
• Stability Theory of Synchronized Motion in Coupled-Oscillator Systems
• The method of Melnikov for perturbations of multi-degree-of-freedom Hamiltonian systems
• Synchronization in chaotic systems
• Transient-chaos induced directed transport in a spatially-open Hamiltonian system

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