Characteristic Analysis of Tri-stable Stochastic Resonance with Levy Noise

doi:10.16182/j.issn1004731x.joss.201805037

Journal of System Simulation ›› 2018, Vol. 30 ›› Issue (5): 1908-1917.doi: 10.16182/j.issn1004731x.joss.201805037

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Characteristic Analysis of Tri-stable Stochastic Resonance with Levy Noise

He Lifang¹, Cui Yingying¹, Li Guoquan², Lin Jinzhao²

1. Chongqing Key Laboratory of Signal and Information Processing, Chongqing University of Posts and Telecommunications, Chongqing 400065, China;
2. Chongqing Key Laboratory of Photo electronic Information Sensing and Transmitting Technology, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

Received:2016-06-24 Revised:2016-08-17 Online:2018-05-08 Published:2019-01-03

Abstract

Abstract: The characteristic analysis of tri-stable stochastic resonance with Levy noise is analyzed deeply with Levy noise being combined with a tri-stable stochastic resonance system and average signal-to-noise ratio gain being used as index. The effect of tri-stable system parameters w, a, b and Levy noise intensity amplification factor D on the resonant output is explored with different Levy noise. Results show that for different distribution of Levy noise, the stochastic resonance phenomenon can be induced by tuning the system parameters. The parameter intervals which can induce stochastic resonances are approximately equal. Moreover, by adjusting the intensity amplification factor D of Levy noise, the stochastic resonances can happen similarly. These results will provide a basis for the reasonable selection of system parameters of parameter-induced tri-stable stochastic resonance under Levy noise.

Key words: stochastic resonance, Levy noise, tri-stable system, mean of signal-to-noise ratio gain

CLC Number:

TP391

He Lifang, Cui Yingying, Li Guoquan, Lin Jinzhao. Characteristic Analysis of Tri-stable Stochastic Resonance with Levy Noise[J]. Journal of System Simulation, 2018, 30(5): 1908-1917.

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Characteristic Analysis of Tri-stable Stochastic Resonance with Levy Noise

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