Effects of non-Gaussian noise near supercritical Hopf bifurcation

Ruiting Zhang, Zhonghuai Hou and Houwen Xin

Physica A: Statistical Mechanics and its Applications, 2011, vol. 390, issue 2, 147-153

Abstract: We have studied the effects of non-Gaussian colored noise in a chemical oscillation system, the well-known Brusselator model, in the parameter region close to the supercritical Hopf bifurcation. With the variation of the parameter q, which quantifies the deviation from Gaussian character, the signal-to-noise ratio of noise induced oscillation exhibits a bell-shaped change, indicating the presence of resonant activity. The cooperative effects of q and the correlation time τ on the performance of noise induced oscillation are also investigated. Interestingly, resonance-like behavior can be induced by either q or τ when the other parameter is properly fixed. Stochastic normal form theory is used to analyze these nontrivial effects and the simulation results are well reproduced. This work provides us comprehensive understanding of how non-Gaussian noise influences the dynamics in chemical oscillation systems.

Keywords: Hopf bifurcation; Non-Gaussian noise; Noise induced oscillation; Stochastic normal form (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:390:y:2011:i:2:p:147-153

DOI: 10.1016/j.physa.2010.08.051

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