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Stochastic resonance system with linear random frequency fluctuation for aperiodic LFM signal

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Abstract

In this paper, we investigate the stochastic resonance (SR) phenomenon in the aperiodic linear frequency-modulated (LFM) signal driving stochastic dynamical system with linear random frequency fluctuation under the external additive noise and internal multiplicative symmetric dichotomous noise. Applying the fractional Fourier transform operator and Laplace transform technique, we obtain the exact expressions of system stationary state response. By studying the impacts of the external parameters, including the chirp rate and centroid frequency of LFM driving signal, and the internal parameters, including the system intrinsic frequency, noise intensity, and correlation rate of the internal noise, we find the non-monotonic behaviors of the output amplitude. The results indicate that the wide sense of SR phenomena occurs in the proposed LFM signal driving stochastic dynamical system.

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Acknowledgements

The authors would like to thank the anonymous reviewers for the constructive comments and suggestions. This research is partially sponsored by the National Natural Science Foundation of China (Nos. 11301360 and 11601357), the Fundamental Research Funds for the Central Universities (No.106112016CDJXY100001), the Basic and Cutting-edge Research Program of Chongqing (No.cstc2016jcyjA0014), and the Science and Technology Project of the Education Department of Fujian Province (No. JA14112).

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Authors and Affiliations

  1. College of Computer and Information Science, Fujian Agriculture and Forestry University, Fuzhou, 350002, China

    Lifeng Lin

  2. College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, China

    Huiqi Wang

  3. College of Mathematics and Software Science, Sichuan Normal University, Chengdu, 610068, China

    Wangyong Lv

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  1. Lifeng Lin
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Correspondence to Huiqi Wang.

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Lin, L., Wang, H. & Lv, W. Stochastic resonance system with linear random frequency fluctuation for aperiodic LFM signal. Nonlinear Dyn 88, 1361–1371 (2017). https://doi.org/10.1007/s11071-016-3315-y

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