Desynchronization transitions in nonlinearly coupled phase oscillators

DOI10.1016/J.PHYSD.2011.05.016zbMath1235.34111arXiv1102.0627OpenAlexW1978718151MaRDI QIDQ720699

Oleksandr Burylko, Arkadij S. Pikovskij

Publication date: 11 October 2011

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

Full work available at URL: https://arxiv.org/abs/1102.0627

zbMATH Keywords

bifurcationsynchronizationKuramoto modelmultistabilitynonlinear coupling

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Attractors of solutions to ordinary differential equations (34D45) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (9)

Hopf normal form with \(S_N\) symmetry and reduction to systems of nonlinearly coupled phase oscillators ⋮ Networks beyond pairwise interactions: structure and dynamics ⋮ Clustering versus non-clustering phase synchronizations ⋮ Chaos in coupled heteroclinic cycles and its piecewise-constant representation ⋮ Collective dynamics and bifurcations in symmetric networks of phase oscillators. I ⋮ Chaos in generically coupled phase oscillator networks with nonpairwise interactions ⋮ Bifurcations in phase oscillator networks with a central element ⋮ Global Heteroclinic Rebel Dynamics Among Large 2-Clusters in Permutation Equivariant Systems ⋮ Hierarchical frequency clusters in adaptive networks of phase oscillators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dynamics of heterogeneous oscillator ensembles in terms of collective variables
• Chemical oscillations, waves, and turbulence
• Self-organized partially synchronous dynamics in populations of nonlinearly coupled oscillators
• Constants of motion for superconducting Josephson arrays
• The dynamics of \(n\) weakly coupled identical oscillators
• From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators
• The symmetry perspective. From equilibrium to chaos in phase space and physical space
• Onset of cooperative entrainment in limit-cycle oscillators with uniform all-to-all interactions: Bifurcation of the order function
• Bifurcation to heteroclinic cycles and sensitivity in three and four coupled phase oscillators
• Integrability of a globally coupled oscillator array

This page was built for publication: Desynchronization transitions in nonlinearly coupled phase oscillators