Stochastic Resonance for a Time-Delayed Metapopulation System Driven by Multiplicative and Additive Noises
WANG Kang-Kang1,2, LIU Xian-Bin1**
1State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016 2School of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang 212003
Abstract：The stochastic resonance (SR) phenomenon induced by the periodic signal in a metapopulation system which is driven by noises and contains a time delay is investigated. Under the condition of small delay time, the analytical expression of signal-to-noise ratio (SNR) is derived in the adiabatic limit. Via numerical calculations, each effect of the additive noise intensity, the multiplicative noise intensity and the delay time upon the SNR is discussed, respectively. It is shown that both the additive noise intensity and the multiplicative noise intensity can play a role in restraining the SR phenomenon, and for the additive noise, even a very small intensity can excite the SR phenomenon. For the delay time, the different role upon the SR phenomenon is discovered finally.
(Probability theory, stochastic processes, and statistics)
引用本文:
. [J]. 中国物理快报, 2013, 30(7): 70504-070504.
WANG Kang-Kang, LIU Xian-Bin. Stochastic Resonance for a Time-Delayed Metapopulation System Driven by Multiplicative and Additive Noises. Chin. Phys. Lett., 2013, 30(7): 70504-070504.
2013, Vol. 30 
