Period-doubling bifurcations in the presence of colored noise
- 1 May 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 49 (5) , 3801-3806
- https://doi.org/10.1103/physreve.49.3801
Abstract
We study the effects of colored noise on period-doubling bifurcations. Using the Feigenbaum map as a model, the technique of cumulant equations is applied to analyze the bifurcation behavior. We find that the universal properties of the period-doubling sequences are preserved in the case of colored noise. Moreover, the resonancelike response of the period-doubling cascade to the colored noise forcing is observed, while the noise correlation time is varied. This response is reflected in both power spectra and bifurcation diagrams.Keywords
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