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Memory effects on stochastic resonance
Institution:1. National Centre for Nuclear Research, Department of Fundamental Research, Hoż a 69, Warsaw 00-681, Poland;2. Institute of Physics, Jan Kochanowski University, Świȩtokrzyska 15, 25-406 Kielce, Poland;1. School of Mathematics and Statistics, Xi''an Jiaotong University, Xi''an 710049, China;2. School of Mechanical Engineering and Mechanics, Ningbo University, Ningbo 315211, China;1. Department of Electronic Engineering, Inha University, Incheon 22212, Republic of Korea;2. Department of Electrical and Computer Engineering, Seoul National University, Seoul 08826, Republic of Korea;3. School of Electrical and Computer Engineering, University of Seoul, Seoul 02504, Republic of Korea
Abstract:We study the phenomenon of stochastic resonance (SR) in a bistable system with internal colored noise. In this situation the system possesses time-dependent memory friction connected with noise via the fluctuation-dissipation theorem, so that in the absence of periodic driving the system approaches the thermodynamic equilibrium state. For this non-Markovian case we find that memory usually suppresses stochastic resonance. However, for a large memory time SR can be enhanced by the memory.
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