Simulation study of the effects of time delay on the correlation function of a bistable system with correlated noises

doi:10.1088/1674-1056/19/8/080503

中国物理B ›› 2010, Vol. 19 ›› Issue (8): 80503-080503.doi: 10.1088/1674-1056/19/8/080503

Simulation study of the effects of time delay on the correlation function of a bistable system with correlated noises

戴祖诚¹, 杜鲁春², 梅冬成²

(1)Department of Physics, Kunming Univertity, Kunming 650031, China; (2)Department of Physics, Yunnan University, Kunming 650091, China

收稿日期:2010-02-01 修回日期:2010-03-02 出版日期:2010-08-15 发布日期:2010-08-15
基金资助:
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).

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

Received:2010-02-01 Revised:2010-03-02 Online:2010-08-15 Published:2010-08-15
Supported by:
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).

摘要/Abstract

摘要： 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.

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.

Key words: bistable system, time delay, correlation function

中图分类号: (Noise)

05.40.Ca

杜鲁春, 戴祖诚, 梅冬成. Simulation study of the effects of time delay on the correlation function of a bistable system with correlated noises[J]. 中国物理B, 2010, 19(8): 80503-080503.

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[J]. Chin. Phys. B, 2010, 19(8): 80503-080503.

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Simulation study of the effects of time delay on the correlation function of a bistable system with correlated noises

Simulation study of the effects of time delay on the correlation function of a bistable system with correlated noises

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