Asymptotic formation and orbital stability of phase-locked states for the Kuramoto model

We discuss the asymptotic formation and nonlinear orbital stability of phase-locked states arising from the ensemble of non-identical Kuramoto oscillators. We provide an explicit lower bound for a coupling strength on the formation of phase-locked states, which only depends on the diameters of natur...

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Veröffentlicht in:	Physica. D 2012-04, Vol.241 (7), p.735-754
Hauptverfasser:	Choi, Young-Pil, Ha, Seung-Yeal, Jung, Sungeun, Kim, Yongduck
Format:	Artikel
Sprache:	eng
Schlagworte:	[formula omitted]-contraction Asymptotic properties Complete synchronization Estimates Frequency Joining Mathematical models Orbital stability Oscillators Phase-locked states Stability analysis Strength The Kuramoto model
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