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Escape Rate in the Bistable Sawtooth System Driven by Correlated Multiplicative and Additive White Noises
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YOU Jing-Yun1;CAO Li1,2;WU Da-Jin2,3;LIANG Gui-Yun3 |
1State Key Laboratory of Laser Technology, Huazhong
University of Science and Technology, Wuhan 430074
2CCAST(World Laboratory), P. O. Box 8730, Beijing 100080
3Department of Physics, Huazhong University of Science and Technology, Wuhan 430074
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Cite this article: |
YOU Jing-Yun, CAO Li, WU Da-Jin et al 2001 Chin. Phys. Lett. 18 175-177 |
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Abstract We study the escape problem of a bistable sawtooth system
driven by correlated multiplicative and additive white noises. Exact analytic representation of the relative escape rate is obtained. Some novel phenomena are found from the calculation result;“suppression platform”appears in the relative escape rate when the noise correlation coefficient λ is positive. Moreover, for small positive values of λ, the relative escape rate exhibits “suppression platform” and then “resonant activation” with the increasing noise strength ratio R.
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Keywords:
05.40.-a
82.20.Mj
02.50.-r
02.60.-x
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Published: 01 February 2001
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PACS: |
05.40.-a
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(Fluctuation phenomena, random processes, noise, and Brownian motion)
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82.20.Mj
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02.50.-r
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(Probability theory, stochastic processes, and statistics)
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02.60.-x
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(Numerical approximation and analysis)
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