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We investigate the stochastic resonance of the bistable system driven by multiplicative and additive colored noises with colored cross-correlation. The expression of signal-to-noise ratio (SNR) is obtained by using the adiabatic limit. Through analyzing SNR with the initial condition of x(0)=x+ , we find the stochastic resonance and the stochastic multiresonance. We also find the effects of the noise intensity, the cross-correlation intensity and the correlation time of the noise on the SNR.
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Keywords:
- stochastic multiresonance /
- signal-to-noise ratio /
- bistable system /
- color-correlated colored noise
[1] Bebzi R, Sutera A, Vulpiani A 1981 J.Phys. A 14 L453
[2] Xu W, Jin Y F, Li W, Ma S J 2005 Chin. Phys. 14 1077
[3] Jia Y, Yu S N, Li J R 2000 Phys. Rev. E 62 1869
[4] Luo X Q, Zhu S Q 2004 Chin. Phys. 13 1201
[5] Liang G Y, Cao L, Wu D J 2002 Phys. Lett. A 294 190
[6] Liang G Y, Cao L Zhang L, Wu D J 2003 Chin. Phys.12 1109
[7] Zhang L Y Cao L, Wu D J 2003 Acta Phys. Sin. 52 1174 (in Chinese) [张良英、曹 力、吴大进 2003 52 1174]
[8] Wang J, Cao L, Wu D J 2003 Chin. Phys. Lett. 20 1217
[9] Liang G Y, Cao L,Wang J, Wu D J 2003 Physica A 327 304
[10] Qian H, Qian M 2000 Phys. Rev. Lett. 84 2271
[11] Kang Y M, Xu J X, Xie Y 2005 Chaos Soliton. Fract. 25 165
[12] Novikov E A 1965 Sov. Phys. JETP 20 1290
[13] Hu G 1994 Stochastic Force and Nonlinear Systems (Shanghai: Shanghai Science and Technological Education Publishing House) p135 (in Chinese) [胡 岗 1994 随机力与非线性系统(上海:上海科学教育出版社)第135页]
[14] McNamara B, Wiesenfeld K 1989 Phys. Rev. A 39 4854
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[1] Bebzi R, Sutera A, Vulpiani A 1981 J.Phys. A 14 L453
[2] Xu W, Jin Y F, Li W, Ma S J 2005 Chin. Phys. 14 1077
[3] Jia Y, Yu S N, Li J R 2000 Phys. Rev. E 62 1869
[4] Luo X Q, Zhu S Q 2004 Chin. Phys. 13 1201
[5] Liang G Y, Cao L, Wu D J 2002 Phys. Lett. A 294 190
[6] Liang G Y, Cao L Zhang L, Wu D J 2003 Chin. Phys.12 1109
[7] Zhang L Y Cao L, Wu D J 2003 Acta Phys. Sin. 52 1174 (in Chinese) [张良英、曹 力、吴大进 2003 52 1174]
[8] Wang J, Cao L, Wu D J 2003 Chin. Phys. Lett. 20 1217
[9] Liang G Y, Cao L,Wang J, Wu D J 2003 Physica A 327 304
[10] Qian H, Qian M 2000 Phys. Rev. Lett. 84 2271
[11] Kang Y M, Xu J X, Xie Y 2005 Chaos Soliton. Fract. 25 165
[12] Novikov E A 1965 Sov. Phys. JETP 20 1290
[13] Hu G 1994 Stochastic Force and Nonlinear Systems (Shanghai: Shanghai Science and Technological Education Publishing House) p135 (in Chinese) [胡 岗 1994 随机力与非线性系统(上海:上海科学教育出版社)第135页]
[14] McNamara B, Wiesenfeld K 1989 Phys. Rev. A 39 4854
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