On Computing the Critical Coupling Coefficient for the Kuramoto Model on a Complete Bipartite Graph

We extend recent results on the existence of global phase-locked states (GPLS) in the Kuramoto model on a complete graph to the case of a complete bipartite graph. In particular, we prove that, for the Kuramoto model on a complete bipartite graph, the value of the critical coupling coefficient, i.e....

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Veröffentlicht in:	SIAM journal on applied dynamical systems 2009-01, Vol.8 (1), p.417-453
Hauptverfasser:	Verwoerd, Mark, Mason, Oliver
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Applied mathematics Behavior Biology Computation Coupling coefficients Dynamical systems Eigenvalues Engineering Graphs Mathematical analysis Mathematical models Nonlinear equations Oscillators Phase transitions
Online-Zugang:	Volltext
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