Stochastic resonance in two kinds of asymmetric nonlinear systems with time-delayed feedback and subject to additive colored noise |
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| Institution: | 1. College of Physics and Engineering, Chengdu Normal University, Chengdu 611130, China;2. Department of Transportation, Southeast University, Nanjing 210096, China;3. School of Mechanical and Vehicular Engineering, Beijing Institute of Technology, Beijing 100081, China;4. Research Institute of Internet of Mobility, Southeast University, China and UW-Madison, Nanjing 210096, China;1. Department of Mechatronics Engineering, Shantou University, Shantou 515063, China;2. School of Mechanical and Aerospace Engineering, Nanyang Technological University, Singapore 639798, Singapore;3. IDMEC, Instituto Superior Técnico, Universidade de Lisboa, 1040-001, Lisboa, Portugal;4. College of Chemical Engineering, China University of Petroleum, Qingdao, China;1. School of Science, Jiangsu University of Science and Technology, Zhenjiang 212003, China;2. Complex Systems and Network Science Research Center, Southeast University, Nanjing 210096, China;3. School of Mathematical Sciences, Nanjing Normal University, Nanjing 210097, China;1. Institute of Nonlinear Science, Shaoxing University, Shaoxing 312000, China;2. Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China;1. College of Electrical Engineering and Automation, Anhui University, Hefei, Anhui 230601, PR China;2. National Engineering Laboratory of Energy-Saving Motor and Control Technology, Anhui University, Hefei, Anhui 230601, PR China;3. Hefei Comprehensive Education Technology Co., Ltd., Hefei, Anhui 230088, PR China |
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| Abstract: | This paper attempts to investigate the stochastic resonance (SR) behaviors in two kinds of asymmetric nonlinear systems with time-delayed feedback driven by additive colored noise by virtue of two-state theory, small time delay approximation, path integral approach, and unified colored-noise approximation, where asymmetric nonlinear systems include asymmetric well depth and asymmetric well width alone. The characteristics of SR in two kinds of asymmetric systems are different for different asymmetric ratios and correlated times of additive colored noise. For asymmetric well width, optimal noise intensity is independent of asymmetric ratio and correlated time, whereas for asymmetric well depth it is closely related with asymmetric ratio and correlated time. However, optimal noise intensity is closely related with feedback intensity, and time-delay for two kinds of asymmetries. Even there exists the optimal feedback intensity, time delay and correlated time to make output SNR maximum. Above clues are helpful to achieve weak signal detection under strong background noise. |
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