Long-term fluctuations in globally coupled phase oscillators with general coupling: Finite size effects

DOI10.1063/1.3692966zbMath1331.34057arXiv1204.0084OpenAlexW3100419631WikidataQ47318394 ScholiaQ47318394MaRDI QIDQ2787733

Gouhei Tanaka, Takehiko Horita, Isao Nishikawa, Kazuyuki Aihara

Publication date: 4 March 2016

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

Full work available at URL: https://arxiv.org/abs/1204.0084

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Qualitative investigation and simulation of ordinary differential equation models (34C60) Synchronization of solutions to ordinary differential equations (34D06)

Cites Work

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• Synchronization of globally coupled phase oscillators: singularities and scaling for general couplings
• Onset of cooperative entrainment in limit-cycle oscillators with uniform all-to-all interactions: Bifurcation of the order function
• Intrinsic fluctuations and a phase transition in a class of large populations of interacting oscillators.
• Center manifold reduction for large populations of globally coupled phase oscillators

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