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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
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| Cite this article: |
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WANG Kang-Kang, LIU Xian-Bin 2013 Chin. Phys. Lett. 30 070504 |
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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.
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Received: 22 February 2013
Published: 21 November 2013
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| PACS: |
05.40.-a
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(Fluctuation phenomena, random processes, noise, and Brownian motion)
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02.50.-r
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(Probability theory, stochastic processes, and statistics)
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[1] Benzi R, Sutera A and Vulpiani A 1981 J. Phys. A: Math. Gen. 14 L453
[2] Benzi R, Parisi G, Sutera A and Vulpiani A 1982 Tellus 34 10
[3] R Rozenfeld. A Neiman and Lutz S G 2000 Phys. Rev. E 62 R3031
[4] Li J H 2002 Phys. Rev. E 66 031104
[5] Gitterman M 2003 Phys. Rev. E 67 057103
[6] Guo F, Zhou Y R, Jiang S Q and Gu T X 2006 J. Phys. A: Math. Gen. 39 13861
[7] Calisto H, Mora F and Tirapegui E 2006 Phys. Rev. E 74
[8] Guillouzic S, Heureux I L and Longtin A 1999 Phys. Rev. E 59 3970
[9] Frank T D 2005 Phys. Rev. E 71 031106
[10] Zeng C H, Sun Y L and Chen G X 2009 Mod. Phys. Lett. B 23 2281
[11] Levins R 1998 Bull. Entomol. Soc. Am. 15 237
[12] Levins R 1970 Lect. Notes Math. 2 75
[13] Novikov E A, èksp Z 1965 Sov. Phys. JETP 20 1290
[14] Jannelli J M, Yariv A, Chen T R and Zhuang Y H 1994 Appl. Phys. Lett. 65 1983
[15] H?nggi P and Jung P 1995 Adv. Chem. Phys. 89 239
[16] Luo X Q and Zhu S Q 2003 Phys. Rev. E 67 021104
[17] Moilanen A, Hanski I 1998 Ecology 79 2503
[18] Novikov E A 1964 Zh. Eksp. Teor. Fiz. 47 1919
[19] Novikov E A 1964 Sov. Phys. JETP 20 1290
[20] Fox R F 1986 Phys. Rev. A 34 4525
[21] McNamara B and Wiesenfeld K 1989 Phys. Rev. A 39 4854
[22] Li J L and Zeng L Z 2010 J. Phys. A: Math. Theor. 43 495002
[23] Chapeau F, Duan F, Abbott D 2008 Physica A 387 2394
[24] Duan F, Chapeau F, Abbott D 2008 Phys. Lett. A 372 2159
[25] Duan F, Chapeau F, Abbott D 2012 PLoS One 7 e34282
[26] Duan F, Chapeau F, Abbott D 2012 Signal Process. 92 3049
[27] Ma Y, Duan F, Chapeau F, Abbott D 2013 PLoS One 8 e58507
[28] Jia Z L 2010 Chin. Phys. B 19 020504
[29] Yang J H and Liu X B 2010 Chin. Phys. B 19 050504
[30] Wang C J 2010 Chin. Phys. B 19 030503
[31] Shu C Z, Nie L R and Zhou Z R 2012 Chin. Phys. Lett. 29 050506
[32] Guo Y F, Xu W and Wang L 2010 Chin. Phys. B 19 040503
[33] Bai C Y, Yan Y and Mei D C 2010 Chin. Phys. B 19 060503 |
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