1986 | OriginalPaper | Buchkapitel
Bistable Behavior in Coupled Oscillators
verfasst von : D. G. Aronson, E. J. Doedel, H. G. Othmer
Erschienen in: Nonlinear Oscillations in Biology and Chemistry
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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We consider a very simple model of two identical nonlinear oscillators, each with an asymptotically stable limit cycle, coupled together by a linear diffusion path. The system depends on two parameters: the natural frequency of the individual oscillators and the intensity of the coupling. Our main result Is that the coupled system exhibits bistable behavior for an open set of parameter values which includes moderate values of the parameters rather than just very large or very small values.