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

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.

Keywords: bistable system time delay correlation function

Received: 01 February 2010
Revised: 02 March 2010
Accepted manuscript online:

PACS:

05.40.Ca

(Noise)

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).

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

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