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The Research on Stochastic Resonance Phenomena in Linear Systems Driven by Cross-correlated Noises

Author: ZhengLiLi
Tutor: KeShengZhi
School: Huazhong University of Science and Technology
Course: Optics
Keywords: O-U noise Dual -mode noise Noise correlation Linear systems Harmonic Oscillator Stochastic resonance
CLC: O324
Type: Master's thesis
Year: 2007
Downloads: 127
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Abstract


In the past decades , the theory of stochastic dynamics made ??amazing progress , the random system appears in various forms in many areas of the natural sciences and social sciences . Stochastic resonance is very important research topic . The paper used analytic methods to study the phenomenon of stochastic resonance in a linear stochastic dynamical systems driven by the associated noise . The main work is divided into the following sections: ( 1) describe the statistical nature of the noise , given the interrelated forms of noise . Elaborate on the basic concepts of stochastic resonance mechanisms , the basic theory and applications . (2) the use of statistical averaging method to study the associated two-state noise -driven damped harmonic oscillators stochastic resonance phenomenon , analyze and discuss the impact of the correlation strength of stochastic resonance in periodic modulation of interrelated conditions . The study found that : appropriate noise and signal strength , and gradually increase the noise correlation between the strength of stochastic resonance peak has also experienced a non - monotonic change process . ( 3) application ensemble average method to study the associated two-state noise - driven stochastic resonance in underdamped harmonic oscillator model , analyze and discuss interrelated with the time change and the periodic signal modulation system output characteristics . The study found that the the : cycle modulation interrelated so interrelated intensity into the system output expression . Adjust the the interrelated strength , signal amplification with the input signal frequency curve observed doubly stochastic resonance phenomenon . (4 ) In order to study the introduction of the more commonly used model of the actual noise OU noise closer to the actual research bias signal driven damped linear system model of stochastic resonance phenomenon . The study results show that : the the OU noise can induce stochastic resonance . Consider periodic modulation noise interrelated , we observed stochastic resonance phenomenon also observed to inhibit the phenomenon .

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CLC: > Mathematical sciences and chemical > Mechanics > Vibration theory > Random vibration
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