Abstract
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.
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© 1986 Springer-Verlag Berlin Heidelberg
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Aronson, D.G., Doedel, E.J., Othmer, H.G. (1986). Bistable Behavior in Coupled Oscillators. In: Othmer, H.G. (eds) Nonlinear Oscillations in Biology and Chemistry. Lecture Notes in Biomathematics, vol 66. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93318-9_13
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DOI: https://doi.org/10.1007/978-3-642-93318-9_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-16481-4
Online ISBN: 978-3-642-93318-9
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