Synchronization of coupled oscillators on small-world networks

DOI10.1016/J.PHYSD.2009.04.002zbMath1190.34060OpenAlexW2039127699MaRDI QIDQ833184

Takashi Odagaki, Fumito Mori

Publication date: 12 August 2009

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

Full work available at URL: https://doi.org/10.1016/j.physd.2009.04.002

zbMATH Keywords

frequencycritical exponentphase synchronizationcoupled oscillatorphase oscillatorsmall-world networkKuramoto oscillatorWatts-Strogatz

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Neural networks for/in biological studies, artificial life and related topics (92B20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (4)

Stochastic simulation of the circadian rhythmicity in the SCN neuronal network ⋮ An equation-free approach to coarse-graining the dynamics of networks ⋮ The Kuramoto model in complex networks ⋮ Exponential synchronization of stochastic coupled oscillators networks with delays

Cites Work

• Unnamed Item
• Chemical oscillations, waves, and turbulence
• Global and local synchrony of coupled neurons in small-world networks
• Simulation of circadian rhythm generation in the suprachiasmatic nucleus with locally coupled self-sustained oscillators
• Collective dynamics of ‘small-world’ networks

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