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Asymmetric stochastic resonance in a bistable system driven by non-Gaussian colored noise

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  • Liu, Jian
  • Cao, Jie
  • Wang, Youguo
  • Hu, Bing

Abstract

This paper attempts to investigate the stochastic resonance (SR) in an asymmetric bistable kinetic model driven by both additive non-Gaussian colored noise and a harmonic excitation. The asymmetric potentials are divided into three aspects: the well-depth asymmetry, the well-width asymmetry, and the synchronous action of well-depth and well-width asymmetry, respectively. By using two-state theory, the bistable system with three types of asymmetric potentials is transformed into a master equation. Moreover, the expression of output signal-to-noise ratio (SNR) is derived to investigate the SR behavior. It is found that the features of SR in asymmetric scenes compared to symmetric scenes are different, where the maximum SNR in asymmetry can exceed the symmetric one. In addition, the SR effect expands with the increase of noise non-Gaussianity and noise color. More interestingly, SR behavior with the synchronous action of well-depth and well-width asymmetry is similar to the well-width asymmetry one, which is dominant within the three asymmetries case. Finally, some further studies are discussed, which may extend our results of weak signal detection in the context of SR.

Suggested Citation

  • Liu, Jian & Cao, Jie & Wang, Youguo & Hu, Bing, 2019. "Asymmetric stochastic resonance in a bistable system driven by non-Gaussian colored noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 321-336.
    • Handle: RePEc:eee:phsmap:v:517:y:2019:i:c:p:321-336
    DOI: 10.1016/j.physa.2018.11.012
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    References listed on IDEAS

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    1. Duan, Fabing & Chapeau-Blondeau, François & Abbott, Derek, 2011. "Neural signal transduction aided by noise in multisynaptic excitatory and inhibitory pathways with saturation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(16), pages 2855-2862.
    2. Zhou, Bingchang & McDonnell, Mark D., 2015. "Optimising threshold levels for information transmission in binary threshold networks: Independent multiplicative noise on each threshold," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 659-667.
    3. Fuentes, M.A. & Wio, Horacio S. & Toral, Raúl, 2002. "Effective Markovian approximation for non-Gaussian noises: a path integral approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 303(1), pages 91-104.
    4. Shi, Peiming & Xia, Haifeng & Han, Dongying & Fu, Rongrong & Yuan, Danzhen, 2018. "Stochastic resonance in a time polo-delayed asymmetry bistable system driven by multiplicative white noise and additive color noise," Chaos, Solitons & Fractals, Elsevier, vol. 108(C), pages 8-14.
    5. Liu, Jian & Wang, Youguo, 2018. "Performance investigation of stochastic resonance in bistable systems with time-delayed feedback and three types of asymmetries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 493(C), pages 359-369.
    6. Cao, Jie & Bu, Zhan & Gao, Guangliang & Tao, Haicheng, 2016. "Weighted modularity optimization for crisp and fuzzy community detection in large-scale networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 386-395.
    7. Wang, Kang-Kang & Ju, Lin & Wang, Ya-Jun & Li, Sheng-Hong, 2018. "Impact of colored cross-correlated non-Gaussian and Gaussian noises on stochastic resonance and stochastic stability for a metapopulation system driven by a multiplicative signal," Chaos, Solitons & Fractals, Elsevier, vol. 108(C), pages 166-181.
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    Cited by:

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    2. Mandal, Saroj Kumar & Poria, Swarup, 2023. "A study of Michaelis–Menten type harvesting effects on a population in stochastic environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 611(C).

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