Noisy precursors of nonlinear instabilities |
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| Authors: | Kurt Wiesenfeld |
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| Affiliation: | (1) Department of Physics, University of California, 94720 Berkeley, California;(2) Present address: Department of Physics, University of California, 95064 Santa Cruz, California |
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| Abstract: | This paper studies the effect of external noise on systems displaying nonlinear instabilities of periodic orbits. Each class of instability is found to have its own characteristic signature, as displayed by the power spectrum. Results are derived for each of the codimension-one instabilities familiar from bifurcation theory. |
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| Keywords: | Noise power spectra bifurcations Floquet theory |
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