The correlation between stochastic resonance and the average phase-synchronization time of a bistable system driven by colour-correlated noises

doi:10.1088/1674-1056/19/1/010502

Abstract This paper investigates the correlation between stochastic resonance (SR) and the average phase-synchronization time which is between the input signal and the output signal in a bistable system driven by colour-correlated noises. The results show that the output signal-to-noise ratio can reach a maximum with the increase of the average phase-synchronization time, which may be helpful for understanding the principle of SR from the point of synchronization; however, SR and the maximum of the average phase-synchronization time appear at different optimal noise level, moreover, the effects on them of additive and multiplicative noise are different.

Keywords: stochastic resonance phase-synchronization signal-to-noise ratio average phase-synchronization time

Received: 08 April 2009
Revised: 27 May 2009
Accepted manuscript online:

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	02.50.Ey	(Stochastic processes)
	05.40.Ca	(Noise)

Cite this article:

Dong Xiao-Juan(董小娟) The correlation between stochastic resonance and the average phase-synchronization time of a bistable system driven by colour-correlated noises 2010 Chin. Phys. B 19 010502

[1]	Park K, Lai Y C and Krishnamoorthy S 2007 Chaos 17 043111
[2]	Park K, Lai Y C, Liu Z H and Nachman A 2004 Phys. Lett. A 326 391
[3]	Park K, Lai Y C and Krishnamoorthy S 2007 Phys. Rev. E 75 046205
[4]	Casado-Pascual J, Gomez-Ordonez J, Morillo M and Hanggi P 2003 Phys. Rev. Lett. 91 210601
[5]	Jia Y, Yu S N and Li J R 2000 Phys. Rev. E 62 1869
[6]	Zhang X Y and Xu W 2007 Chin. Phys. 16 928
[7]	Novikov E A and Eksp Z 1965 Sov. Phys. JETP 20 1290
[8]	Fox R F 1986 Phys. Rev. A 34 4525
[9]	Jung P and Hanggi P 1987 Phys. Rev. A 35 4464
[10]	Jin Y F and Xu W 2005 Chaos, Solitons & Fractals 23 275
[11]	Masoliver J, West B J and Lindenberg K 1987 Phys. Rev. A 35 3086
[12]	Jin Y F, Xu W, Ma S J and Li W 2005 Acta Phys. Sin. 54 3480 (in Chinese)
[13]	Li J L 2007 Chin. Phys. 16 340
[14]	Xu W, Jin Y F, Li W and Ma S J 2005 Chin. Phys. 14 1077

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The correlation between stochastic resonance and the average phase-synchronization time of a bistable system driven by colour-correlated noises

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