Synchronization transition of identical phase oscillators in a directed small-world network

DOI10.1063/1.3476316zbMath1311.34088arXiv1003.2020OpenAlexW2069149917WikidataQ42871832 ScholiaQ42871832MaRDI QIDQ5251220

Ralf Tönjes, Hiroshi Kori, Naoki Masuda

Publication date: 19 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/1003.2020

Mathematics Subject Classification ID

Small world graphs, complex networks (graph-theoretic aspects) (05C82) 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 (5)

Explosive transitions in complex networks' structure and dynamics: percolation and synchronization ⋮ Loss of coherence among coupled oscillators: From defect states to phase turbulence ⋮ Robustness of cluster synchronous patterns in small-world networks with inter-cluster co-competition balance ⋮ Synchronization in interdependent networks ⋮ Center manifold reduction for large populations of globally coupled phase oscillators

Cites Work

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• Chemical oscillations, waves, and turbulence
• Self-organized partially synchronous dynamics in populations of nonlinearly coupled oscillators
• The Fokker-Planck equation. Methods of solution and applications.
• Finite-size scaling for mean-field percolation
• Synchronization in oscillatory networks
• Collective dynamics of ‘small-world’ networks
• The geometry of biological time.

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