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Enhancement of stochastic resonance: the role of non Gaussian noises

Author

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  • Fuentes, M.A.
  • Toral, Raúl
  • Wio, Horacio S.

Abstract

We have analyzed the phenomenon of stochastic resonance in a double well potential driven by a colored non Gaussian noise. Using a path-integral approach we have obtained a consistent Markovian approximation that enables us to get, through the two state theory, analytical expressions for the signal-to-noise ratio, finding an enhancement of this quantity when the system departs from Gaussian behavior. This finding is supported by extensive numerical simulations. We discuss the relation of these results to some experiments in sensory systems.

Suggested Citation

  • Fuentes, M.A. & Toral, Raúl & Wio, Horacio S., 2001. "Enhancement of stochastic resonance: the role of non Gaussian noises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(1), pages 114-122.
    • Handle: RePEc:eee:phsmap:v:295:y:2001:i:1:p:114-122
    DOI: 10.1016/S0378-4371(01)00062-0
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    Cited by:

    1. Chapeau-Blondeau, François & Duan, Fabing & Abbott, Derek, 2008. "Signal-to-noise ratio of a dynamical saturating system: Switching from stochastic resonator to signal processor," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(11), pages 2394-2402.
    2. Wu, Jian-Li & Duan, Wei-Long & Luo, Yuhui & Yang, Fengzao, 2020. "Time delay and non-Gaussian noise-enhanced stability of foraging colony system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).
    3. Yu, Dong & Wang, Guowei & Ding, Qianming & Li, Tianyu & Jia, Ya, 2022. "Effects of bounded noise and time delay on signal transmission in excitable neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    4. Wu, Jiancheng & Li, Xuan & Liu, Xianbin, 2016. "The moment Lyapunov exponent of a co-dimension two bifurcation system driven by non-Gaussian colored noise," Applied Mathematics and Computation, Elsevier, vol. 286(C), pages 189-200.
    5. Han, Ping & Xu, Wei & Zhang, Hongxia & Wang, Liang, 2022. "Most probable trajectories in the delayed tumor growth model excited by a multiplicative non-Gaussian noise," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    6. Guo, Qin & Sun, Zhongkui & Xu, Wei, 2016. "The properties of the anti-tumor model with coupling non-Gaussian noise and Gaussian colored noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 449(C), pages 43-52.
    7. Zhang, Huiqing & Xu, Wei & Xu, Yong, 2009. "The study on a stochastic system with non-Gaussian noise and Gaussian colored noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(6), pages 781-788.
    8. Hua, Mengjiao & Wu, Yu, 2022. "Transition and basin stability in a stochastic tumor growth model with immunization," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    9. Gillard, Nicolas & Belin, Etienne & Chapeau-Blondeau, François, 2018. "Enhancing qubit information with quantum thermal noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 507(C), pages 219-230.
    10. Zhang, Ruiting & Hou, Zhonghuai & Xin, Houwen, 2011. "Effects of non-Gaussian noise near supercritical Hopf bifurcation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(2), pages 147-153.
    11. Dong, Xiaohui & Wang, Ming & Zhong, Guang-Yan & Yang, Fengzao & Duan, Weilong & Li, Jiang-Cheng & Xiong, Kezhao & Zeng, Chunhua, 2018. "Stochastic delayed kinetics of foraging colony system under non-Gaussian noise," Chaos, Solitons & Fractals, Elsevier, vol. 112(C), pages 1-13.
    12. Jin, Chen & Sun, Zhongkui & Xu, Wei, 2022. "Stochastic bifurcations and its regulation in a Rijke tube model," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).

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