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- W2515690917 abstract "T he onset of collect ive synchronous be hav ior in globally cou pled ensembles of oscillators is discussed . We present a formalism t hat is applicable to general ense mbles of heterogeneous, cont inuous t ime dynamical uni t s t hat, when uncoupled , ar e chaotic, periodi c, or a mixture of both. A discussion of converge nce issues, imp or t an t for t he prop er implementation of our method, is includ ed. Our work lead s to a qu antitative pr ediction for t he crit ical coupling value at t he onset of collect ive synchrony and for t he growt h rate of t he resul ting coherent state. Syst em s that consist of many coupled heterogeneous dynamical units are of great int erest in a wide variety of sit uat ions. The simplest such sit uation is where t he coupling is global in t he sense t hat each uni t is coupled t o all ot her units. Past work has concent rated on t he case where t he dynamics of the unco upled uni ts is periodic with a spread in t he oscillator frequ en cies [1]. In t hat case, a ty pical be hav ior is t hat, for sufficiently low coupling , the indi vidual uni ts oscillate incoherently, but t hat, as t he magnit ude of t he coup ling increases thro ugh a critical value, t here is a transition to coherent system dyn amics in which a gro up of oscilla to rs in the ense mb le of uni ts becomes locked in frequency and p hase . Possible applications include synchrony in chirping crickets [2], flashing fireflies [3], Josephson junction" @default.
- W2515690917 created "2016-09-16" @default.
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- W2515690917 date "2003-01-01" @default.
- W2515690917 modified "2023-09-24" @default.
- W2515690917 title "SYNCH R ONY IN GLOBALLY C OUPLED C HAOTIC, PERIODIC, AND MIXED ENSEMBLES O F D Y N A M I C A L UNITS" @default.
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