{"title":"具有乘性和加性噪声的单稳定系统的随机共振","authors":"Feng Guo, Yu-rong Zhou, Shiqi Jiang, Tianxiang Gu","doi":"10.1088/0305-4470/39/45/002","DOIUrl":null,"url":null,"abstract":"The stochastic resonance in a biased mono-stable system subject to multiplicative and additive noise is investigated. Based on the adiabatic approximation theory, the analytic expression of the signal-to-noise ratio (SNR) is obtained. It is shown that the SNR is a non-monotonic function of the intensities of the multiplicative and additive noise, as well as the parameters of the mono-stable system.","PeriodicalId":87442,"journal":{"name":"Journal of physics A: Mathematical and general","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2006-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"24","resultStr":"{\"title\":\"Stochastic resonance in a mono-stable system with multiplicative and additive noise\",\"authors\":\"Feng Guo, Yu-rong Zhou, Shiqi Jiang, Tianxiang Gu\",\"doi\":\"10.1088/0305-4470/39/45/002\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The stochastic resonance in a biased mono-stable system subject to multiplicative and additive noise is investigated. Based on the adiabatic approximation theory, the analytic expression of the signal-to-noise ratio (SNR) is obtained. It is shown that the SNR is a non-monotonic function of the intensities of the multiplicative and additive noise, as well as the parameters of the mono-stable system.\",\"PeriodicalId\":87442,\"journal\":{\"name\":\"Journal of physics A: Mathematical and general\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2006-10-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"24\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of physics A: Mathematical and general\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1088/0305-4470/39/45/002\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of physics A: Mathematical and general","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/0305-4470/39/45/002","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stochastic resonance in a mono-stable system with multiplicative and additive noise
The stochastic resonance in a biased mono-stable system subject to multiplicative and additive noise is investigated. Based on the adiabatic approximation theory, the analytic expression of the signal-to-noise ratio (SNR) is obtained. It is shown that the SNR is a non-monotonic function of the intensities of the multiplicative and additive noise, as well as the parameters of the mono-stable system.
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