Frequency Resonance in Stochastic Systems
QIAN Min1 , ZHANG Xue-Juan
1 LMAN, School of Mathematical Sciences, Peking University, Beijing 100871
2 Shaoxing College of Arts and Sciences, Shaoxing 312000
Frequency Resonance in Stochastic Systems
QIAN Min1 ;ZHANG Xue-Juan
1 LMAN, School of Mathematical Sciences, Peking University, Beijing 100871
2 Shaoxing College of Arts and Sciences, Shaoxing 312000
关键词 ：
05.40.-a ,
05.45.Xt
Abstract ： The phenomenon of frequency resonance, which is usually related to deterministic systems, is investigated in stochastic systems. We show that for those autonomous systems driven only by white noise, if the output power spectrum exhibits a nonzero peak frequency, then applying a periodic signal just on this noise-induced central frequency can also induce a resonance phenomenon, which we call the frequency stochastic resonance. The effect of such a resonance in a coupled stochastic system is shown to be much better than that in a single-oscillator system.
Key words ：
05.40.-a
05.45.Xt
出版日期: 2003-02-01
:
05.40.-a
(Fluctuation phenomena, random processes, noise, and Brownian motion)
05.45.Xt
(Synchronization; coupled oscillators)
[1]
CHEN Yue-Hua;WU Zhi-Yuan;YANG Jun-Zhong. Noise-Mediated Generalized Synchronization
[2]
FENG Cun-Fang;ZHANG Yan; WANG Ying-Hai. Different Types of Synchronization in Time-Delayed Systems
[3]
ZHANG Ji-Qian;HOU Zhong-Huai;XIN Hou-Wen. Neural Signal Tuned by Random Long-range Connections in Coupled FitzHugh--Nagumo Neurons Systems
[4]
GUO Feng;ZHOU Yu-Rong;JIANG Shi-Qi;GU Tian-Xiang. Stochastic Resonance in an Over-Damped Bias Linear System with Dichotomous Noise
[5]
ZHOU Lu-Qun;OUYANG Qi. Phase Propagations in a Coupled Oscillator--Excitor System of FitzHugh--Nagumo Models
[6]
FENG Cun-Fang;ZHANG Yan;WANG Ying-Hai. Projective Synchronization in Time-Delayed Chaotic Systems
[7]
WANG Jiu-Yun;ZHU Chun-Lian;JIA Ya;LI Jia-Rong. Effects of Nonlinear Time-Delay on a Stochastic Asymmetric System
[8]
ZHANG Ke;WANG Hong-Li;QIAO Chun;OUYANG Qi. Hexagonal Standing-Wave Patterns in Periodically Forced Reaction--Diffusion Systems
[9]
GUAN Jian-Yue; XU Xin-Jian;WU Zhi-Xi;WANG Ying-Hai. Synchronization of Coupled Oscillators on Newman--Watts Small-World Networks
[10]
SHEN Jian-He;CHEN Shu-Hui;CAI Jian-Ping. Chaos Synchronization Criterion and Its Optimizations for a Nonlinear Transducer System via Linear State Error Feedback Control
[11]
WU Li-Yan;LIU Zong-Hua. Enhancement of Information Transmission by Array Induced Stochastic Resonance in the Processes of Amplitude and Frequency Modulations
[12]
WANG Jun;MA Xiao-Yu;BAI Yi-Ming;CAO Li;WU Da-Jin. Stochastic Resonance in Quantum-Well Semiconductor Lasers
[13]
LIU Zeng-Rong;LUO Ji-Gui. Realization of Complete Synchronization between Different Systems by Using Structure Adaptation
[14]
AO Bin;MA Xiao-Juan;LI Yun-Yun;ZHENG Zhi-Gang. Non-Local Coupling and Partial Synchronization in Chaotic Systems
[15]
QIAN Xiao-Lan;LIU Wei-Qing;YANG Jun-Zhong. Transition to Antiphase Synchronization
2003, Vol. 20 
