Fronzoni, L. and Mannella, R. and McClintock, Peter V. E. and Moss, F. (1987) Postponement of Hopf bifurcations by multiplicative colored noise. Physical Review A, 36 (2). pp. 834-841. ISSN 1050-2947
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.
Actions (login required)