Stochastic resonance for a metapopulation system driven by multiplicative and additive colored noises

doi:10.1088/1674-1056/23/1/010502

Chin. Phys. B ›› 2014, Vol. 23 ›› Issue (1): 10502-010502.doi: 10.1088/1674-1056/23/1/010502

Stochastic resonance for a metapopulation system driven by multiplicative and additive colored noises

王康康^{a b}, 刘先斌^a

a State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;
b School of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang 212003, China

收稿日期:2013-01-25 修回日期:2013-07-03 出版日期:2013-11-12 发布日期:2013-11-12
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11072107, 91016022, and 11232007), the Research Fund of State Key Laboratory of Mechanics and Control of Mechanical Structures of Nanjing University of Aeronautics and astronautics, China (Grant No. 0113G01), the Natural Science Foundation of the Higher Education Institutions of Jiangsu Province, China (Grant No. 13KJB110006), and the Project Fund of Jiangsu University of Science and Technology, China (Grant No. 633051203).

Stochastic resonance for a metapopulation system driven by multiplicative and additive colored noises

Wang Kang-Kang (王康康)^{a b}, Liu Xian-Bin (刘先斌)^a

a State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;
b School of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang 212003, China

Received:2013-01-25 Revised:2013-07-03 Online:2013-11-12 Published:2013-11-12
Contact: Liu Xian-Bin E-mail:xbliu@nuaa.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11072107, 91016022, and 11232007), the Research Fund of State Key Laboratory of Mechanics and Control of Mechanical Structures of Nanjing University of Aeronautics and astronautics, China (Grant No. 0113G01), the Natural Science Foundation of the Higher Education Institutions of Jiangsu Province, China (Grant No. 13KJB110006), and the Project Fund of Jiangsu University of Science and Technology, China (Grant No. 633051203).

摘要/Abstract

摘要： We investigate the stochastic resonance (SR) phenomenon induced by the periodic signal in a metapopulation system with colored noises. The analytical expression of signal-to-noise is derived in the adiabatic limit. By numerical calculation, the effects of the addictive noise intensity, the multiplicative noise intensity and two noise self-correlation times on SNR are respectively discussed. It shows that: (i) in the case that the addictive noise intensity M takes a small value, a SR phenomenon for the curve of SNR appears; however, when M takes a large value, SNR turns into a monotonic function on the multiplicative noise intensity Q. (ii) The resonance peaks in the plots of the multiplicative noise intensity Q versus its self-correlation time τ₁ and the addictive noise intensity M versus its self-correlation time τ₂ translate in parallel. Meanwhile, a parallel translation also appears in the plots of τ₁ versus Q and τ₂ versus M. (iii) The interactive effects between self-correlation times τ₁ and τ₂ are opposite.

关键词: metapopulation, Levins model, colored noises, signal-to-noise ratio

Abstract: We investigate the stochastic resonance (SR) phenomenon induced by the periodic signal in a metapopulation system with colored noises. The analytical expression of signal-to-noise is derived in the adiabatic limit. By numerical calculation, the effects of the addictive noise intensity, the multiplicative noise intensity and two noise self-correlation times on SNR are respectively discussed. It shows that: (i) in the case that the addictive noise intensity M takes a small value, a SR phenomenon for the curve of SNR appears; however, when M takes a large value, SNR turns into a monotonic function on the multiplicative noise intensity Q. (ii) The resonance peaks in the plots of the multiplicative noise intensity Q versus its self-correlation time τ₁ and the addictive noise intensity M versus its self-correlation time τ₂ translate in parallel. Meanwhile, a parallel translation also appears in the plots of τ₁ versus Q and τ₂ versus M. (iii) The interactive effects between self-correlation times τ₁ and τ₂ are opposite.

Key words: metapopulation, Levins model, colored noises, signal-to-noise ratio

中图分类号: (Fluctuation phenomena, random processes, noise, and Brownian motion)

05.40.-a

02.50.-r (Probability theory, stochastic processes, and statistics)

王康康, 刘先斌. Stochastic resonance for a metapopulation system driven by multiplicative and additive colored noises[J]. Chin. Phys. B, 2014, 23(1): 10502-010502.

Wang Kang-Kang (王康康), Liu Xian-Bin (刘先斌). Stochastic resonance for a metapopulation system driven by multiplicative and additive colored noises[J]. Chin. Phys. B, 2014, 23(1): 10502-010502.

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Stochastic resonance for a metapopulation system driven by multiplicative and additive colored noises

Stochastic resonance for a metapopulation system driven by multiplicative and additive colored noises

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