The effect of noise on pitchfork and Hopf bifurcations

Juel, A. and Darbyshire, A.G. and Mullin, T. (1997) The effect of noise on pitchfork and Hopf bifurcations. Proceedings of the Royal Society A, 453 (1967). pp. 2627-2647. ISSN 1471-2946

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Abstract

We present the results of an experimental and numerical investigation into the effects of noise on pitchfork and Hopf bifurcations. Good quantitative agreement is found between calculations and experiment. In the case of the pitchfork we find that natural imperfections override the effects of the noise. However, novel noise amplification effects have been uncovered in the study of the Hopf bifurcation. These destroy the critical event found in the noise-free case and could be of considerable practical importance in systems containing dynamic bifurcations.

Item Type:	Article
Uncontrolled Keywords:	Hopf Bifurcation Pitchfork Bifurcation Nonlinear Electronic Oscillator Noisy Precursors Long Time-Scale Dynamics Smearing Of Bifurcations
Subjects:	PACS 2010, the AIP's Physics and Astronomy Classification Scheme > 40 ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID MECHANICS > 47 Fluid dynamics
Depositing User:	Ms Lucy van Russelt
Date Deposited:	02 Nov 2007
Last Modified:	20 Oct 2017 14:12
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/872

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