CHAOTIC ATTRACTOR IN THE KURAMOTO MODEL

DOI10.1142/S0218127405014155zbMath1097.37028OpenAlexW2070766239WikidataQ60302679 ScholiaQ60302679MaRDI QIDQ5474357

Peter Alexander Tass, Yuri Maistrenko, Oleksandr V. Popovych

Publication date: 23 June 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127405014155

zbMATH Keywords

bifurcationsynchronizationphase chaosKuramoto model

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Attractors of solutions to ordinary differential equations (34D45)

Related Items (8)

Stability of an \([N/2\)-dimensional invariant torus in the Kuramoto model at small coupling] ⋮ Synchronisation effects on the behavioural performance and information dynamics of a simulated minimally cognitive robotic agent ⋮ Conditions and Linear Stability Analysis at the Transition to Synchronization of Three Coupled Phase Oscillators in a Ring ⋮ Global and local performance metric with inertia effects ⋮ BIFURCATIONS IN A FREQUENCY-WEIGHTED KURAMOTO OSCILLATORS NETWORK ⋮ Chaos in networks of coupled oscillators with multimodal natural frequency distributions ⋮ A proof of the Kuramoto conjecture for a bifurcation structure of the infinite-dimensional Kuramoto model ⋮ Generating macroscopic chaos in a network of globally coupled phase oscillators

Cites Work

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• A model of desynchronizing deep brain stimulation with a demand-controlled coordinated reset of neural subpopulations
• Irrational rotation numbers
• Invariant two-dimensional tori, their breakdown and stochasticity
• Exploring complex networks

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