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Transient Properties of a Bistable System Driven by Cross-Correlated Noises: Correlation Times are Nonzero Case |
| MEI Dong-cheng1,2;XIE Guang-zhong1,2;CAO Li3;WU Da-jin3 |
| 1Yunnan Astrophysics Center, Yunnan University, Kunming 650091
2Yunnan Observatory, Chinese Academy of Sciences, Kunming 650011
3Department of Physics, Huazhong University of Science and Technology, Wuhan 430074
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| Cite this article: |
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MEI Dong-cheng, XIE Guang-zhong, CAO Li et al 1999 Chin. Phys. Lett. 16 327-329 |
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Abstract The transient properties of a bistable system driven by cross-correlated noises are investigated, the correlation times of the correlations between the noises are nonzero. The explicit expression of the mean ,first-passage time (MFPT) is obtained. From numerical computations we find the following.(l) The MFPT of the system is affected by the correlation time T and the correlation strength λ, T and λ play opposing roles in the MFPT. (2) For the case of perfectly correlated noises (λ = l), the MFPT corresponding to α > D and α < D (α and D are the additive noise and multiplicative noise intensities, respectively) exhibit the same behaviors and the MFPT for
α = D is continuous, which is very different from the case of T = 0 [Phys. Rev. E 53 (1996) 5764].
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05.40.+j
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Published: 01 May 1999
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