Reduced dynamics and symmetric solutions for globally coupled weakly dissipative oscillators

DOI10.1080/14689360500151813zbMath1086.37041OpenAlexW1967699864WikidataQ61951261 ScholiaQ61951261MaRDI QIDQ5704538

Gerhard Dangelmayr, Peter Ashwin

Publication date: 15 November 2005

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

Full work available at URL: http://hdl.handle.net/10036/21254

zbMATH Keywords

stabilitycoupled oscillatorsperturbationsisochronicityoscillator networksperiodic oscillatorsdissipative caseattracting dynamicssynchronized cluster

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Symmetries of infinite-dimensional dissipative dynamical systems (37L20)

Related Items (3)

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Uses Software

• XPPAUT

Cites Work

• Oscillator death in populations of all to all coupled nonlinear oscillators
• Amplitude response of coupled oscillators
• On the number of critical points of the period
• The dynamics of \(n\) weakly coupled identical oscillators
• Semirotors in the Josephson junction equations
• Averaging Methods for the Phase Shift of Arbitrarily Perturbed Strongly Nonlinear Oscillators with an Application to Capture
• Perturbation Techniques for Oscillatory Systems with Slowly Varying Coefficients
• Isochronicity-induced bifurcations in systems of weakly dissipative coupled oscillators
• A perturbation method for nonlinear dispersive wave problems

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