Double stochastic resonance induced by varying potential-well depth and width |
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| Authors: | Zijian Qiao Jian Liu Xin Ma Jinliang Liu |
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| Institution: | 1. School of Mechanical Engineering and Mechanics, Ningbo University, Ningbo 315211, Zhejiang, China;2. The State Key Laboratory of Mechanical Transmissions, Chongqing University, Chongqing 400044, China;3. Zhejiang Provincial Key Laboratory of Part Rolling Technology, Ningbo 315211, Zhejiang, China;4. College of Information Engineering, Nanjing University of Finance and Economics, Nanjing 210023, Jiangsu, China;5. School of Engineering Technology, Purdue University, 610 Purdue Mall, West Lafayette, IN 47907, America;1. School of Engineering, Huzhou University, Huzhou 313000, Zhejiang, China;2. Department of Control Science and Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China;3. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China;1. Department of Control and Automation Engineering, National Korea Maritime and Ocean University, Busan 49112, South Korea;2. School of IT Information and Control Engineering, Kunsan National University, Kunsan 54150, South Korea;1. School of Electronic and Electric Engineering, Shanghai University of Engineering Science, China;2. Science and Technology on Underwater Vehicle Laboratory, Harbin Engineering University, Harbin 150001, China;3. School of Electronic Information and Electrical Engineering, Shanghai Jiaotong University, China;4. School of Physics and Electronic Engineering, Guangzhou University, Guangzhou, China;1. Department of Physics, Central China Normal University, Wuhan 430079, China;2. Institute of Civil Engineering, Kashi University, Kashi 844008, China;3. School of Physics and Optoelectronic Engineering, Yangtze University, Jingzhou 434023, China |
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| Abstract: | The role of potential-well depth and width on stochastic resonance (SR) driven by colored noise with different noise correlation times is explored and evaluated by deriving the analytic expression of output signal-to-noise ratio (SNR) as a most widely used indicator for quantifying SR phenomenon. Double resonance peaks are observed and shifted between single peak and double peaks when SNR is expressed as the function of varying potential-well depth, varying potential-well width, additive noise intensity, multiplicative noise intensity and the intensity ratio between two noise, respectively. Moreover, the SR behavior induced by varying potential-well depth is different from that induced by varying potential-well width. Even the shapes of SNR curves under different correlation times and coupling strength for potential-well depth are opposite to those for potential-well width and furthermore they are also of dependence on initial conditions. Above clues may be helpful to the precise control of SR by varying potential-well depth and width separately for weak signal enhancement. |
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