Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 470, Issue -, Pages 261-274Publisher
ELSEVIER
DOI: 10.1016/j.physa.2016.11.145
Keywords
Multiple noises; Cross-correlation noise; Bistable system; Transition
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Funding
- National Natural Science Foundation of China [11205006]
- Natural Science New Star of Science and Technologies Research Plan in Shaanxi Province of China [2014KJXX-77]
- Science Foundation of the Education Bureau of Shaanxi Province, China [15JK1045]
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Based on the.stochastic equivalent rules, the Fokker-Planck Equation for a general one-dimensional nonlinear system subjected to N-component noises and cross-correlation noises is derived, and the greatest advantage of the method lies in its simplicity. Applying this method, the effects of multiple sources of noise and the correlation forms of noises among them (i.e., two multiplicative noises, an additive noise and the correlation between the three noises) on the steady-state properties and the mean first passage time (MFPT) of a stochastic bistable system are discussed in details. The results show rich transition phenomena, such as the reentrance-like noise-induced phenomenon and the switch between the bimodal and the unimodal structure for different noise intensities. Moreover, the effects of the cross-correlation among the three noise sources on the MFPT are also discussed, and the noise-enhanced stability phenomenon and the resonant activation phenomenon are observed. The numerical results are in basic agreement with the theoretical predictions. (C) 2016 Elsevier B.V. All rights reserved.
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