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Noise-free stochastic resonance in simple chaotic systems

Author

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  • Sinha, Sitabhra

Abstract

The phenomenon of stochastic resonance (SR) is reported in a completely noise-free situation, with the role of thermal noise being taken by low-dimensional chaos. A one-dimensional, piecewise linear map and a pair of coupled excitatory-inhibitory neurons are the systems used for the investigation. Both systems show a transition from symmetry-broken to symmetric chaos on varying a system parameter. In the latter state, the systems switch between the formerly disjoint attractors due to the inherent chaotic dynamics. This switching rate is found to “resonate” with the frequency of an externally applied periodic perturbation (either parametric or additive). The existence of a resonance in the response of the system is characterized in terms of the residence-time distributions. The results are an unambiguous indicator of the presence of SR-like behavior in these systems. Analytical investigations supporting the observations are also presented. The results have implications in the area of information processing in biological systems.

Suggested Citation

  • Sinha, Sitabhra, 1999. "Noise-free stochastic resonance in simple chaotic systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 270(1), pages 204-214.
    • Handle: RePEc:eee:phsmap:v:270:y:1999:i:1:p:204-214
    DOI: 10.1016/S0378-4371(99)00136-3
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    Cited by:

    1. Han, Chunxiao & Qin, Yingmei & Qin, Qing & Wang, Ruofan & Lu, Meili & Zhao, Jia & Che, Yanqiu, 2019. "Vibrational resonance without tuning in a neuronal parallel array," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 204-210.
    2. Gandhimathi, V.M. & Murali, K. & Rajasekar, S., 2006. "Stochastic resonance with different periodic forces in overdamped two coupled anharmonic oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1034-1047.

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