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Stochastic resonance for a fractional linear oscillator with memory-inertia and memory-damping kernels subject to dichotomous time-modulated noise

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Abstract

Stochastic resonance (SR) phenomenon for a fractional linear oscillator with memory-inertia and memory-damping kernels subject to multiplicative noise and additive noise is investigated. The correlation intensity between the two noises is modeled as a time-modulated one. The amplitude gains for the input signal and that for the time-modulated correlation signal are derived. Analysis results show that SR phenomenon occurs when the two amplitude gains vary with the fractional exponent, vary with the intensity of the multiplicative noise, as well as vary with the frequency of the input signal and with that of the time-modulated correlation signal.

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Acknowledgements

The financial support of the Key Research and Development Program of Sichuan under Grant 2019YFG0325, and the Key Research and Development Program of Chengdu under grant 2019YF0800265GX to this work is gratefully acknowledged.

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Authors and Affiliations

  1. School of Electrical Engineering and Electronic Information, Xi’hua University, Chengdu, 610039, China

    Xuan Lin

  2. School of Information Engineering, Southwest University of Science and Technology, Mianyang, 621010, China

    Feng Guo

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  1. Xuan Lin
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  2. Feng Guo
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Lin, X., Guo, F. Stochastic resonance for a fractional linear oscillator with memory-inertia and memory-damping kernels subject to dichotomous time-modulated noise. Indian J Phys 96, 3065–3073 (2022). https://doi.org/10.1007/s12648-021-02226-7

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