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Simulation study of the effects of time delay on the correlation function of a bistable system with correlated noises |
Du Lu-Chun(杜鲁春)a), Dai Zu-Cheng(戴祖诚)b), and Mei Dong-Cheng(梅冬成) a)† |
a Department of Physics, Yunnan University, Kunming 650091, China; b Department of Physics, Kunming Univertity, Kunming 650031, China |
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Abstract The effects of time delay on the fluctuation properties of a bistable system are investigated by simulating its normalised correlation function C(s). Three cases including linear delay, cubic delay and global delay in the system are considered respectively. The simulation results indicate that the linear delay enhances the fluctuation of the system (reduces the stability of the system) while the cubic delay and global delay weaken it (enforce the stability of the system), and the effect of cubic delay is more pronounced than the linear delay and global delay.
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Received: 01 February 2010
Revised: 02 March 2010
Accepted manuscript online:
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Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10865006), the Science Foundation of Yunnan University (Grant No. 2009A01z), and the Graduate Science Foundation of Yunnan University (Grant No. ynuy200926). |
Cite this article:
Du Lu-Chun(杜鲁春), Dai Zu-Cheng(戴祖诚), and Mei Dong-Cheng(梅冬成) Simulation study of the effects of time delay on the correlation function of a bistable system with correlated noises 2010 Chin. Phys. B 19 080503
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[1] |
Sancho J M, San Miguel M, Katz S L and Gunton J D 1982 Phys. Rev. A 26 1589
|
[2] |
Mei D C, Xie C W and Xiang Y L 2004 Physica A 343 167
|
[3] |
Mei D C, Xiang Y L and Xie C W 2006 Phys. Scr. 74 123
|
[4] |
Du L C and Mei D C 2008 Phys. Lett. A 372 5529
|
[5] |
Long F, Du L C and Mei D C 2009 Phys. Scr. 79 045007
|
[6] |
Desp'osito M A and Vi nales A D 2009 Phys. Rev. E 80 021111
|
[7] |
Fujisaka H and Grossmann S 1981 Z. Phys. B: Cond. Matter 43 69
|
[8] |
Hern'andez-Machado A, San Migeul M and Sancho J M 1984 Phys. Rev. A 29 3388
|
[9] |
Pikovsky A S and Kurths J 1997 Phys. Rev. Lett. 78 775
|
[10] |
Tsimring L S and Pikovsky A S 2001 Phys. Rev. Lett. 87 250602
|
[11] |
Huber D and Tsimring L S 2003 Phys. Rev. Lett. 91 260601
|
[12] |
Piwonski T, Houlihan J, Busch T and Huyet G 2005 Phys. Rev. Lett. 95 040601
|
[13] |
Kim S, Park S H and Pyo H B 1999 Phys. Rev. Lett. 82 1620
|
[14] |
Ohira T and Sato Y 1999 Phys. Rev. Lett. 82 2811
|
[15] |
Du L C and Mei D C 2009 Chin. Phys. B 18 946
|
[16] |
Stephen Yeung M K and Strogatz S H 1999 Phys. Rev. Lett. 82 648
|
[17] |
Wu D and Zhu S Q 2007 Phys. Lett. A 363 202
|
[18] |
Du L C and Mei D C 2008 J. Stat. Mech. 11 P11020
|
[19] |
Wu D, Zhu S Q and Luo X Q 2009 Europhys. Lett. 86 50002
|
[20] |
Mei D C, Du L C and Wang C J 2009 J. Stat. Phys. 137 625
|
[21] |
Jia Z L 2010 Chin. Phys. B 19 020504
|
[22] |
Nie L R and Mei D C 2007 Europhys. Lett. 79 20005
|
[23] |
Nie L R and Mei D C 2008 Phys. Rev. E 77 031107
|
[24] |
Gu X, Zhu S Q and Wu D 2007 Eur. Phys. J. D 42 461
|
[25] |
Du L C and Mei D C 2010 Physica A 389 1189
|
[26] |
Han L B 2008 Acta Phys. Sin. 57 2699 (in Chinese)
|
[27] |
Long F, Du L C and Mei D C 2009 Chin. Phys. B 18 4738
|
[28] |
Frank T D 2002 Phys. Rev. E 66 011914
|
[29] |
Hasegawa H 2004 Phys. Rev. E 70 021911
|
[30] |
Frank T D 2005 Phys. Rev. E 71 031106
|
[31] |
Frank T D 2005 Phys. Rev. E 72 011112
|
[32] |
Pomplum J, Balanov A G and Sch"oll E 2007 Phys. Rev. E 75 040101(R)
|
[33] |
Kim M Y, Roy R, Aron J L, Carr T W and Schwartz I B 2005 Phys. Rev. Lett. 94 088101
|
[34] |
Gu X, Zhu S Q and Wu D 2007 Commun. Theor. Phys. 48 1055
|
[35] |
Gu X and Zhu S Q 2010 Eur. Phys. J. D 56 215
|
[36] |
Guillouzic S, LHeureux I and Longtin A 2000 Phys. Rev. E 61 4906
|
[37] |
Li J C and Mei D C 2008 Acta Phys. Sin. 57 6792 (in Chinese)
|
[38] |
Lin L, Yan Y and Mei D C 2010 Acta Phys. Sin. 59 2240 (in Chinese)
|
[39] |
Zhu S Q 1993 Phys. Rev. A 47 2405
|
[40] |
Xiang Y L and Mei D C 2010 Chin. Phys. B 19 010501
|
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