The Stochastic Resonance Phenomenon of Different Noises in Underdamped Bistable System
In this paper, the stochastic resonance (SR) phenomenon of four kinds of noises (the white noise, the harmonic noise, the asymmetric dichotomous noise, and the Lévy noise) in underdamped bistable systems is studied. By applying theory of stochastic differential equations to the numerical simulation...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/4614919 |
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| author | Shan Yang Zening Fan Ruibin Ren |
| author_facet | Shan Yang Zening Fan Ruibin Ren |
| author_sort | Shan Yang |
| collection | DOAJ |
| description | In this paper, the stochastic resonance (SR) phenomenon of four kinds of noises (the white noise, the harmonic noise, the asymmetric dichotomous noise, and the Lévy noise) in underdamped bistable systems is studied. By applying theory of stochastic differential equations to the numerical simulation of stochastic resonance problem, we simulate and analyze the system responses and pay close attention to stochastic control in the proposed systems. Then, the factors of influence to the SR are investigated by the Euler-Maruyama algorithm, Milstein algorithm, and fourth-order Runge-Kutta algorithm, respectively. The results show that the SR phenomenon can be generated in the proposed system under certain conditions by adjusting the parameters of the control effect with different noises. We also found that the type of the noise has little effect on the resonance peak of the output power spectrum density, which is not observed in conventional harmonic systems driven by multiplicative noise with only an overdamped term. Therefore, the conclusion of this paper can provide experimental basis for the further study of stochastic resonance. |
| format | Article |
| id | doaj-art-8f5123ab6fcb4da3b928f88e46dfed4b |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-8f5123ab6fcb4da3b928f88e46dfed4b2025-02-03T01:00:15ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/46149194614919The Stochastic Resonance Phenomenon of Different Noises in Underdamped Bistable SystemShan Yang0Zening Fan1Ruibin Ren2Department of Computer and Software, Jincheng College of Sichuan University, Chengdu 611731, ChinaCollege of Mathematics, Sichuan University, Chengdu 610064, ChinaCollege of Mathematics, Southwest Jiaotong University, Chengdu 610031, ChinaIn this paper, the stochastic resonance (SR) phenomenon of four kinds of noises (the white noise, the harmonic noise, the asymmetric dichotomous noise, and the Lévy noise) in underdamped bistable systems is studied. By applying theory of stochastic differential equations to the numerical simulation of stochastic resonance problem, we simulate and analyze the system responses and pay close attention to stochastic control in the proposed systems. Then, the factors of influence to the SR are investigated by the Euler-Maruyama algorithm, Milstein algorithm, and fourth-order Runge-Kutta algorithm, respectively. The results show that the SR phenomenon can be generated in the proposed system under certain conditions by adjusting the parameters of the control effect with different noises. We also found that the type of the noise has little effect on the resonance peak of the output power spectrum density, which is not observed in conventional harmonic systems driven by multiplicative noise with only an overdamped term. Therefore, the conclusion of this paper can provide experimental basis for the further study of stochastic resonance.http://dx.doi.org/10.1155/2021/4614919 |
| spellingShingle | Shan Yang Zening Fan Ruibin Ren The Stochastic Resonance Phenomenon of Different Noises in Underdamped Bistable System Advances in Mathematical Physics |
| title | The Stochastic Resonance Phenomenon of Different Noises in Underdamped Bistable System |
| title_full | The Stochastic Resonance Phenomenon of Different Noises in Underdamped Bistable System |
| title_fullStr | The Stochastic Resonance Phenomenon of Different Noises in Underdamped Bistable System |
| title_full_unstemmed | The Stochastic Resonance Phenomenon of Different Noises in Underdamped Bistable System |
| title_short | The Stochastic Resonance Phenomenon of Different Noises in Underdamped Bistable System |
| title_sort | stochastic resonance phenomenon of different noises in underdamped bistable system |
| url | http://dx.doi.org/10.1155/2021/4614919 |
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