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Postponement of Hopf bifurcations by multiplicative colored noise.

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

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

Item Type: Article
Journal or Publication Title: Physical Review A
Subjects: Q Science > QC Physics
Departments: Faculty of Science and Technology > Physics
ID Code: 32328
Deposited By: Professor P. V. E. McClintock
Deposited On: 23 Mar 2010 11:29
Refereed?: Yes
Published?: Published
Last Modified: 26 Jul 2012 17:08
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/32328

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