A Demonstration of Equivalence between Parameter-Induced and Noise-Induced Stochastic Resonances with Multiplicative and Additive Noises
LI Jian-Long1, ZENG Ling-Zao2, ZHANG Hui-Quan1
1Department of Information Science and Electronic Engineering, Zhejiang University, Hangzhou 310027 2Institute of Soil and Water Resources and Environmental Science, Zhejiang University, Hangzhou 310029
A Demonstration of Equivalence between Parameter-Induced and Noise-Induced Stochastic Resonances with Multiplicative and Additive Noises
LI Jian-Long1, ZENG Ling-Zao2, ZHANG Hui-Quan1
1Department of Information Science and Electronic Engineering, Zhejiang University, Hangzhou 310027 2Institute of Soil and Water Resources and Environmental Science, Zhejiang University, Hangzhou 310029
摘要A typical bistable nonlinear system with multiplicative and additive noises can produce stochastic resonance (SR) by increasing the intensity of the additive noise or the multiplicative noise and it has been proved that SR can also be realized by tuning system parameters. We clearly demonstrate the equivalence between parameter-induced SR (PSR) and noise-induced SR in the presence of multiplicative and additive noises. By tuning several system parameters with fixed noise intensities, the SR is induced just as it is realized by tuning the additive noise or the multiplicative noise. It may be interesting to realize PSR when the noise intensity exceeds the resonance level, or when the characteristic of the noise is unknown.
Abstract：A typical bistable nonlinear system with multiplicative and additive noises can produce stochastic resonance (SR) by increasing the intensity of the additive noise or the multiplicative noise and it has been proved that SR can also be realized by tuning system parameters. We clearly demonstrate the equivalence between parameter-induced SR (PSR) and noise-induced SR in the presence of multiplicative and additive noises. By tuning several system parameters with fixed noise intensities, the SR is induced just as it is realized by tuning the additive noise or the multiplicative noise. It may be interesting to realize PSR when the noise intensity exceeds the resonance level, or when the characteristic of the noise is unknown.
(Probability theory, stochastic processes, and statistics)
引用本文:
LI Jian-Long;ZENG Ling-Zao;ZHANG Hui-Quan. A Demonstration of Equivalence between Parameter-Induced and Noise-Induced Stochastic Resonances with Multiplicative and Additive Noises[J]. 中国物理快报, 2010, 27(10): 100502-100502.
LI Jian-Long, ZENG Ling-Zao, ZHANG Hui-Quan. A Demonstration of Equivalence between Parameter-Induced and Noise-Induced Stochastic Resonances with Multiplicative and Additive Noises. Chin. Phys. Lett., 2010, 27(10): 100502-100502.
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