Self-similarity in periodically forced oscillators |
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Authors: | J Belair Leon Glass |
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Institution: | Department of Physiology, McGill University, 3655 Drummond Street, Montreal, Quebec H3G 1Y6, Canada |
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Abstract: | Periodic stimulation of limit cycle oscillations leads to one-dimensional maps f: S1 → S1 with two parameters which correspond to the frequency and amplitude of the periodic forcing. Bifurcations are described for the situtation in which f is of topological degree zero. Self-similarity is found in the parameter space. |
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