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Stochastic Resonance for an Underdamped Stochastic Bistable System Subject to White Noise |
ZHU Fucheng1, GUO Feng2
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1. Mianyang Polytechnic, Mianyang 621000, China; 2. School of Information Engineering of Southwest University of Science and Technology, Mianyang 621010, China |
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Abstract Based on the two-state theory, under the adiabatic approximation condition, applying the properties of the stochastic potential, the system output signal-to-noise ratio (SNR) is obtained. It is shown that the SR phenomenon can be found as SNR varies with the damping coefficient, with the additive noise strength, as well as with the system parameters. With the increase of the correlation length of stochastic potential, the maximum value of SNR decreases monotonically; while with the increase of the amplitude of the stochastic potential, the maximum value of SNR increases monotonically. Numerical simulation results show that the output SNR of the system is consistent with the theoretical results.
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Received: 10 June 2020
Published: 18 June 2021
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