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The Winfree model consists of a population of globally coupled phase oscillators with randomly distributed natural frequencies. As the coupling strength and the spread of natural frequencies are varied, the various stable states of the model can undergo bifurcations, nearly all of which have been characterized previously. The one exception is the unlocking(More)
This report describes the impulsive dynamics of a system of two coupled oscillators with essential (nonlinearizable) stiffness nonlinearity. The system considered consists of a grounded weakly damped linear oscillator coupled to a lightweight weakly damped oscillating attachment with essential cubic stiffness nonlinearity arising purely from geometry and(More)
Synchronization is studied in a population of phase oscillators with mean-field coupling—a special case of the more general Winfree model. Each oscillator is coupled to the mean-field with a strength dependent on its phase. The uncoupled frequencies of the oscil-lators are assumed to be randomly distributed according to a specified population density. The(More)
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