Multi-cluster dynamics in coupled phase oscillator networks

DOI10.1080/14689367.2014.984917zbMath1351.37206arXiv1409.7527OpenAlexW3101417251WikidataQ61951223 ScholiaQ61951223MaRDI QIDQ5175402

Asma Ismail, Peter Ashwin

Publication date: 20 February 2015

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.7527

zbMATH Keywords

coupled oscillatorsheteroclinic cyclecoupling functionrobust clusteringnontrivial cluster

Mathematics Subject Classification ID

Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (1)

Patterns of desynchronization and resynchronization in heteroclinic networks

Uses Software

• XPPAUT

Cites Work

• Robust heteroclinic cycles
• The dynamics of \(n\) weakly coupled identical oscillators
• Variety and generality of clustering in globally coupled oscillators
• Connection graph stability method for synchronized coupled chaotic systems
• Onset of cooperative entrainment in limit-cycle oscillators with uniform all-to-all interactions: Bifurcation of the order function
• Semirotors in the Josephson junction equations
• Generation and reshaping of sequences in neural systems
• Stability Theory of Synchronized Motion in Coupled-Oscillator Systems
• Simulating, Analyzing, and Animating Dynamical Systems
• Designing the Dynamics of Globally Coupled Oscillators
• Synchronization in chaotic systems

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