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Stochastic resonance in a locally excited system of bistable oscillators

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  • M. Gosak
  • M. Perc
  • S. Kralj

Abstract

Stochastic resonance is studied in a one-dimensional array of overdamped bistable oscillators in the presence of a local subthreshold periodic perturbation. The system can be treated as an ensemble of pseudospins tending to align parallel which are driven dynamically by an external periodic magnetic field. The oscillators are subjected to a dynamic white noise as well as to a static topological disorder. The latter is quantified by the fraction of randomly added long-range connections among ensemble elements. In the low connectivity regime the system displays an optimal global stochastic resonance response if a small-world network is formed. In the mean-field regime we explain strong changes in the dynamic disorder strength provoking a maximal stochastic resonance response via the variation of fraction of long-range connections by taking into account the ferromagnetic-paramagnetic phase transition of the pseudospins. The system size analysis shows only quantitative power-law type changes on increasing number of pseudospins. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2011

Suggested Citation

  • M. Gosak & M. Perc & S. Kralj, 2011. "Stochastic resonance in a locally excited system of bistable oscillators," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 80(4), pages 519-528, April.
    • Handle: RePEc:spr:eurphb:v:80:y:2011:i:4:p:519-528
    DOI: 10.1140/epjb/e2011-10573-8
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    Cited by:

    1. Ma, Tianchi & Song, Di & Shen, Junxian & Xu, Feiyun, 2022. "Unsaturated piecewise bistable stochastic resonance with three kinds of asymmetries and time-delayed feedback," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    2. Šimonka, Vito & Fras, Maja & Gosak, Marko, 2015. "Stochastic simulation of the circadian rhythmicity in the SCN neuronal network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 424(C), pages 1-10.
    3. Zeng, Lingzao & Li, Jianlong & Shi, Jiachun, 2012. "M-ary signal detection via a bistable system in the presence of Lévy noise," Chaos, Solitons & Fractals, Elsevier, vol. 45(4), pages 378-382.
    4. Ma, Tianchi & Shen, Junxian & Song, Di & Xu, Feiyun, 2022. "Unsaturated piecewise bistable stochastic resonance with three kinds of asymmetries driven by multiplicative and additive noise," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    5. Li, Mengdi & Shi, Peiming & Zhang, Wenyue & Han, Dongying, 2020. "Study on the optimal stochastic resonance of different bistable potential models based on output saturation characteristic and application," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    6. Wang, Li & Gong, Yubing & Lin, Xiu, 2012. "Ordered chaotic bursting and multiple coherence resonance by time-periodic coupling strength in Newman–Watts neuronal networks," Chaos, Solitons & Fractals, Elsevier, vol. 45(2), pages 131-136.

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