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Abstract

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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[1]	Wang Ye-Hua, He Mei-Juan.Stochastic resonance in asymmetric bistable coupled network systems driven by Gaussian colored noise. Acta Physica Sinica, 2022, 71(19): 190501.doi:10.7498/aps.71.20220909
[2]	Shi Ping, Ma Jian, Qian Xuan, Ji Yang, Li Wei.Signal-to-noise ratio of spin noise spectroscopy in rubidium vapor. Acta Physica Sinica, 2017, 66(1): 017201.doi:10.7498/aps.66.017201
[3]	Zhang Rui-Fang, Cheng Qing-Hua, Xu Da-Hai.Stochastic multi-resonance of the single-mode laser system driven by the noise with periodic force modulation. Acta Physica Sinica, 2015, 64(2): 024211.doi:10.7498/aps.64.024211
[4]	Wang Zhi-Yun, Chen Pei-Jie, Zhang Liang-Ying.Stochastic resonance in a two-mode laser system driven by colored cross-correlation noises. Acta Physica Sinica, 2014, 63(19): 194204.doi:10.7498/aps.63.194204
[5]	Tian Yan, Huang Li, Luo Mao-Kang.Effects of time-periodic modulation of cross-correlation intensity between noises on stochastic resonance of over-damped linear system. Acta Physica Sinica, 2013, 62(5): 050502.doi:10.7498/aps.62.050502
[6]	Yang Ming, Li Xiang-Lian, Wu Da-Jin.Simulation study on the stochastic resonance of single-mode laser system. Acta Physica Sinica, 2012, 61(16): 160502.doi:10.7498/aps.61.160502
[7]	Ning Li-Juan, Xu Wei.Stochastic resonance under modulated noise in linear systems driven by dichotomous noise. Acta Physica Sinica, 2009, 58(5): 2889-2894.doi:10.7498/aps.58.2889
[8]	Chen De-Yi, Wang Zhong-Long.Effects of time period modulation of the noise correlation intensity on stochastic resonance of the single-mode laser. Acta Physica Sinica, 2008, 57(6): 3333-3336.doi:10.7498/aps.57.3333
[9]	Zhou Bing-Chang, Xu Wei.Stochastic resonance in an asymmetric bistable system driven by correlated noise. Acta Physica Sinica, 2008, 57(4): 2035-2040.doi:10.7498/aps.57.2035
[10]	Ning Li-Juan, Xu Wei.Stochastic resonance in optical bistable system. Acta Physica Sinica, 2007, 56(4): 1944-1947.doi:10.7498/aps.56.1944
[11]	Zhou Bing-Chang, Xu Wei.Stochastic resonance in an asymmetric bistable system driven by mixed periodic force and noises. Acta Physica Sinica, 2007, 56(10): 5623-5628.doi:10.7498/aps.56.5623
[12]	Dong Xiao-Juan.Stochastic resonance in an asymmetric bistable system with time-delayed feedback and correlated noises. Acta Physica Sinica, 2007, 56(10): 5618-5622.doi:10.7498/aps.56.5618
[13]	Li Yue, Lu Peng, Yang Bao-Jun, Zhao Xue-Ping.Applying a special kind of two coupled Duffing oscillator system to detect periodic signals under the background of strong colored noise. Acta Physica Sinica, 2006, 55(4): 1672-1677.doi:10.7498/aps.55.1672
[14]	Xu Wei, Jin Yan-Fei, Xu Meng, Li Wei.Stochastic resonance for bias-signal-modulated noise in a linear system. Acta Physica Sinica, 2005, 54(11): 5027-5033.doi:10.7498/aps.54.5027
[15]	Jin Yan-Fei, Xu Wei, Li Wei, Xu Meng.Stochastic resonance for periodically modulated noise in a linear system. Acta Physica Sinica, 2005, 54(6): 2562-2567.doi:10.7498/aps.54.2562
[16]	Cheng Qing-Hua, Cao Li, Wu Da-Jin.Stochastic resonance in a single-mode laser driven by the colored pump noise with signal modulation and the quantum noise with cross-correlation between the real and imaginary parts. Acta Physica Sinica, 2004, 53(8): 2556-2562.doi:10.7498/aps.53.2556
[17]	Li Yue, Yang Bao-Jun, Shi Yao-Wu.Chaos-based weak sinusoidal signal detection approach under colored noise background. Acta Physica Sinica, 2003, 52(3): 526-530.doi:10.7498/aps.52.526
[18]	Kang Yan-Mei, Xu Jian-Xue, Xie Yong.Stochastic resonance in two-dimensional Brownian motion in the weak noise limit. Acta Physica Sinica, 2003, 52(4): 802-808.doi:10.7498/aps.52.802
[19]	Zhu Heng-Jiang, Li Rong, Wen Xiao-Dong.Extracting information signal under noise by stochastic resonance. Acta Physica Sinica, 2003, 52(10): 2404-2408.doi:10.7498/aps.52.2404
[20]	Zhang Liang-Ying, Cao Li, Wu Da-Jin.Stochastic resonances in the linear model of single-mode lasers driven by color noises with color cross-correlation. Acta Physica Sinica, 2003, 52(5): 1174-1178.doi:10.7498/aps.52.1174

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Vol. 60, Issue 6 - 2011-03-20

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