Stochastic Resonance in a Multistable System Driven by Gaussian Noise
Stochastic resonance (SR) is investigated in a multistable system driven by Gaussian white noise. Using adiabatic elimination theory and three-state theory, the signal-to-noise ratio (SNR) is derived. We find the effects of the noise intensity and the resonance system parameters b, c, and d on the S...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/1093562 |
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| _version_ | 1850178372168056832 |
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| author | Peiming Shi Pei Li Shujun An Dongying Han |
| author_facet | Peiming Shi Pei Li Shujun An Dongying Han |
| author_sort | Peiming Shi |
| collection | DOAJ |
| description | Stochastic resonance (SR) is investigated in a multistable system driven by Gaussian white noise. Using adiabatic elimination theory and three-state theory, the signal-to-noise ratio (SNR) is derived. We find the effects of the noise intensity and the resonance system parameters b, c, and d on the SNR; the results show that SNR is a nonmonotonic function of the noise intensity; therefore, a multistable SR is found in this system, and the value of the peak changes with changing the system parameters. |
| format | Article |
| id | doaj-art-c49adec15b4e4cfabaec44a1664b126f |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-c49adec15b4e4cfabaec44a1664b126f2025-08-20T02:18:46ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/10935621093562Stochastic Resonance in a Multistable System Driven by Gaussian NoisePeiming Shi0Pei Li1Shujun An2Dongying Han3College of Electrical Engineering, Yanshan University, Qinhuangdao 066004, ChinaCollege of Electrical Engineering, Yanshan University, Qinhuangdao 066004, ChinaCollege of Electrical Engineering, Yanshan University, Qinhuangdao 066004, ChinaCollege of Vehicles and Energy, Yanshan University, Qinhuangdao 066004, ChinaStochastic resonance (SR) is investigated in a multistable system driven by Gaussian white noise. Using adiabatic elimination theory and three-state theory, the signal-to-noise ratio (SNR) is derived. We find the effects of the noise intensity and the resonance system parameters b, c, and d on the SNR; the results show that SNR is a nonmonotonic function of the noise intensity; therefore, a multistable SR is found in this system, and the value of the peak changes with changing the system parameters.http://dx.doi.org/10.1155/2016/1093562 |
| spellingShingle | Peiming Shi Pei Li Shujun An Dongying Han Stochastic Resonance in a Multistable System Driven by Gaussian Noise Discrete Dynamics in Nature and Society |
| title | Stochastic Resonance in a Multistable System Driven by Gaussian Noise |
| title_full | Stochastic Resonance in a Multistable System Driven by Gaussian Noise |
| title_fullStr | Stochastic Resonance in a Multistable System Driven by Gaussian Noise |
| title_full_unstemmed | Stochastic Resonance in a Multistable System Driven by Gaussian Noise |
| title_short | Stochastic Resonance in a Multistable System Driven by Gaussian Noise |
| title_sort | stochastic resonance in a multistable system driven by gaussian noise |
| url | http://dx.doi.org/10.1155/2016/1093562 |
| work_keys_str_mv | AT peimingshi stochasticresonanceinamultistablesystemdrivenbygaussiannoise AT peili stochasticresonanceinamultistablesystemdrivenbygaussiannoise AT shujunan stochasticresonanceinamultistablesystemdrivenbygaussiannoise AT dongyinghan stochasticresonanceinamultistablesystemdrivenbygaussiannoise |