Dynamics of the finite-dimensional Kuramoto model: global and cluster synchronization

DOI10.1134/S1560354715010037zbMath1326.34086MaRDI QIDQ2515226

Valentin Petrov, Vladimir N. Belykh, Grigory V. Osipov

Publication date: 31 July 2015

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

zbMATH Keywords

global synchronizationKuramoto modelasynchronous modephase oscillatorsexistence and stability conditionschimera states

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Complex behavior and chaotic systems of ordinary differential equations (34C28) Stability theory for smooth dynamical systems (37C75) Synchronization of solutions to ordinary differential equations (34D06) Multifrequency systems of ordinary differential equations (34C46)

Related Items (4)

Bistability of patterns of synchrony in Kuramoto oscillators with inertia ⋮ Unnamed Item ⋮ Cluster synchronization of diffusively coupled nonlinear systems: a contraction-based approach ⋮ Local phase synchronization and clustering for the delayed phase-coupled oscillators with plastic coupling

Cites Work

• Synchronization in complex networks of phase oscillators: a survey
• Chemical oscillations, waves, and turbulence
• Coupled oscillators and the design of central pattern generators
• The spectrum of the locked state for the Kuramoto model of coupled oscillators
• Kuramoto model of synchronization: equilibrium and nonequilibrium aspects
• Global Phase-Locking in Finite Populations of Phase-Coupled Oscillators
• Existence of Partial Entrainment and Stability of Phase Locking Behavior of Coupled Oscillators
• Synchronization of Coupled Oscillators is a Game
• Unnamed Item
• Unnamed Item

This page was built for publication: Dynamics of the finite-dimensional Kuramoto model: global and cluster synchronization