Stochastic Resonance for an Underdamped Stochastic Bistable System Subject to White Noise
ZHU Fucheng1, GUO Feng2
1. Mianyang Polytechnic, Mianyang 621000, China; 2. School of Information Engineering of Southwest University of Science and Technology, Mianyang 621010, China
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.
朱福成, 郭锋. 白噪声作用下欠阻尼随机双稳系统中的随机共振[J]. 复杂系统与复杂性科学, 2021, 18(3): 60-66.
ZHU Fucheng , GUO Feng. Stochastic Resonance for an Underdamped Stochastic Bistable System Subject to White Noise. Complex Systems and Complexity Science, 2021, 18(3): 60-66.
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