Postponement of Hopf bifurcations by multiplicative colored noise
- 1 July 1987
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 36 (2) , 834-841
- https://doi.org/10.1103/physreva.36.834
Abstract
Problems related to the definition of a Hopf bifurcation in the presence of noise are discussed in terms of three physical observables: the correlation functions, the power spectra, and the statistical densities. Of these, only the statistical density exhibits a distinct noise-induced transition. For a specific definition, only postponements are observed in analog simulator experiments with a Brusselator subject to white and colored noise on the control parameter. A recent prediction due to Lefever and Turner [Phys. Rev. Lett. 56, 1631 (1986)] is qualitatively tested.Keywords
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