Effects of potential functions on stochastic resonance |
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Authors: | Li Jian-Long and Zeng Ling-Zao |
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Affiliation: | Department of Information Science and Electronic Engineering, Zhejiang University and Zhejiang Provincial Key Laboratory of Information Network Technology, Hangzhou 310027, China; Institute of Soil and Water Resources and Environmental Science, Zhejiang University and Zhejiang Provincial Key Laboratory of Subtropical Soil and Plant Nutrition, Hangzhou 310029, China |
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Abstract: | In this paper, the effects of a bistable potential function U(x)=-ax2/2+b|x|2γ/(2γ) on stochastic resonance (SR) is discussed. We investigate the effects of index γ on the performance of the SR system with fixed parameters a and b, and with fixed potential barriers, respectively. To measure the performance of the SR system in the presence of an aperiodic input, the bit error rate is employed, as is commonly used in binary communications. The numerical simulations strongly support the theoretical results. The goal of this investigation is to explore the effects of the shape of potential functions on SR and give a guidance of nonlinear systems in the application of information processing. |
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Keywords: | stochastic resonance potential function aperiodic signal |
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