The onset of synchronization in systems of globally coupled chaotic and periodic oscillators

DOI10.1016/S0167-2789(02)00663-2zbMath1008.37020arXivnlin/0205018MaRDI QIDQ701512

Edward Ott, Ernest Barreto, Thomas M. jun. Antonsen, So, Paul

Publication date: 3 November 2002

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

Full work available at URL: https://arxiv.org/abs/nlin/0205018

zbMATH Keywords

chaosdynamical systemscoupled oscillatorsKuramoto modelLorentz equations

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Stability theory for smooth dynamical systems (37C75)

Related Items (8)

Emergence of synchronization in complex networks of interacting dynamical systems ⋮ Chaotic cluster itinerancy and hierarchical cluster trees in electrochemical experiments ⋮ Bubbling bifurcation: Loss of synchronization and shadowing breakdown in complex systems ⋮ Multistability of twisted states in non-locally coupled Kuramoto-type models ⋮ Network extreme eigenvalue: From mutimodal to scale-free networks ⋮ Modeling a synthetic multicellular clock: Repressilators coupled by quorum sensing ⋮ Synchronization in interacting populations of heterogeneous oscillators with time-varying coupling ⋮ Generating macroscopic chaos in a network of globally coupled phase oscillators

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• Coupled nonlinear oscillators below the synchronization threshold: Relaxation by generalized Landau damping
• H-theorem for a mean field model describing coupled oscillator systems under external forces

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