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Postponement of Hopf bifurcations by multiplicative colored noise.

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<mark>Journal publication date</mark>07/1987
<mark>Journal</mark>Physical Review A
Issue number2
Number of pages8
Pages (from-to)834-841
<mark>Original language</mark>English


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. Leu. 56, 1631 (1986)] is qualitatively tested.