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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Wiesenfeld, K. Noisy precursors of nonlinear instabilities. J Stat Phys 38, 1071–1097 (1985). https://doi.org/10.1007/BF01010430
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DOI: https://doi.org/10.1007/BF01010430