Phase synchronization between collective rhythms of globally coupled oscillator groups: Noisy identical case

DOI10.1063/1.3491344zbMath1311.34075arXiv1007.4382OpenAlexW3099361794WikidataQ51618071 ScholiaQ51618071MaRDI QIDQ5251311

Hiroshi Kori, Hiroya Nakao, Kensuke Arai, Yoshiki Kuramoto, Yoji Kawamura

Publication date: 20 May 2015

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.4382

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Ordinary differential equations and systems with randomness (34F05) Fokker-Planck equations (35Q84) Synchronization of solutions to ordinary differential equations (34D06)

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Cites Work

• Noise-induced transitions. Theory and applications in physics, chemistry, and biology
• Complex networks: structure and dynamics
• Engineering Complex Dynamical Structures: Sequential Patterns and Desynchronization
• Synchronization engineering: Theoretical framework and application to dynamical clustering
• Low dimensional behavior of large systems of globally coupled oscillators
• Phase synchronization between collective rhythms of globally coupled oscillator groups: Noiseless nonidentical case
• Handbook of stochastic methods for physics, chemistry and natural sciences.