High frequency forcing on nonlinear systems

High-frequency signals are pervasive in many science and engineering fields.In this work,the effect of high-frequency driving on general nonlinear systems is investigated,and an effective equation for slow motion is derived by extending the inertial approximation for the direct separation of fast an...

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Published inChinese physics B Vol. 22; no. 3; pp. 209 - 218
Main Author 姚成贵 何志威 占萌
Format Journal Article
LanguageEnglish
Published 01.03.2013
Subjects
Amplitudes
Approximation
Computer simulation
Dynamical systems
High frequencies
Mathematical analysis
Nonlinear dynamics
Nonlinearity
Oscillators
公式推导
周期力
慢动作
振幅和
数值模拟
直接分离
非线性系统
高频信号
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Summary:High-frequency signals are pervasive in many science and engineering fields.In this work,the effect of high-frequency driving on general nonlinear systems is investigated,and an effective equation for slow motion is derived by extending the inertial approximation for the direct separation of fast and slow motions.Based on this theory,a high-frequency force can induce various phase transitions of a system by changing its amplitude and frequency.Numerical simulations on several nonlinear oscillator systems show a very good agreement with the theoretic results.These findings may shed light on our understanding of the dynamics of nonlinear systems subject to a periodic force.
Bibliography:High-frequency signals are pervasive in many science and engineering fields.In this work,the effect of high-frequency driving on general nonlinear systems is investigated,and an effective equation for slow motion is derived by extending the inertial approximation for the direct separation of fast and slow motions.Based on this theory,a high-frequency force can induce various phase transitions of a system by changing its amplitude and frequency.Numerical simulations on several nonlinear oscillator systems show a very good agreement with the theoretic results.These findings may shed light on our understanding of the dynamics of nonlinear systems subject to a periodic force.
Yao Cheng-Gui , He Zhi-Wei , Zhan Meng（1） Department of Mathematics, Shaoxing University, Shaoxing 312000, China;2） Wuhan Center for Magnetic Resonance, State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China ;3） University of the Chinese Academy of Sciences, Beijing 100049, China
high frequency,nonlinear oscillator,inertial approximation,phase transitions
11-5639/O4
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/22/3/030503