Bifurcations and Intermittency in Coupled Dissipative Kicked Rotors

Fuente: arXiv
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Autor principal: Yan, Jin
Formato: Preprint
Publicado: 2025
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author Yan, Jin
author_facet Yan, Jin
contents We investigate the emergence of complex dynamics in a system of coupled dissipative kicked rotors and show that critical transitions can be understood via bifurcations of simple states. We study multistability and bifurcations in the single rotor model, demonstrating how these give rise to a variety of coexisting spatial patterns in a coupled system. A combined order parameter is introduced to characterize different spatial patterns and to reveal the coexistence of chaotic and regular attractors. Finally, we illustrate an intermittent phenomenon near the onset of chaos.
format Preprint
id arxiv_https___arxiv_org_abs_2503_13331
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Bifurcations and Intermittency in Coupled Dissipative Kicked Rotors
Yan, Jin
Chaotic Dynamics
Dynamical Systems
We investigate the emergence of complex dynamics in a system of coupled dissipative kicked rotors and show that critical transitions can be understood via bifurcations of simple states. We study multistability and bifurcations in the single rotor model, demonstrating how these give rise to a variety of coexisting spatial patterns in a coupled system. A combined order parameter is introduced to characterize different spatial patterns and to reveal the coexistence of chaotic and regular attractors. Finally, we illustrate an intermittent phenomenon near the onset of chaos.
title Bifurcations and Intermittency in Coupled Dissipative Kicked Rotors
topic Chaotic Dynamics
Dynamical Systems
url https://arxiv.org/abs/2503.13331