文献类型：期刊文献

中文题名：High frequency forcing on nonlinear systems

英文题名：High frequency forcing on nonlinear systems

作者：Yao Cheng-Gui[1];He Zhi-Wei[2,3];Zhan Meng[2]

机构：[1]Shaoxing Univ, Dept Math, Shaoxing 312000, Peoples R China;[2]Chinese Acad Sci, Wuhan Ctr Magnet Resonance, State Key Lab Magnet Resonance & Atom & Mol Phys, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China;[3]Univ Chinese Acad Sci, Beijing 100049, Peoples R China

年份：2013

卷号：22

期号：3

中文期刊名：中国物理B：英文版

外文期刊名：CHINESE PHYSICS B

收录：SCI-EXPANDED(收录号：WOS:000316187100030)、CSTPCD、、EI(收录号：20131316148759)、Scopus(收录号：2-s2.0-84875247278)、WOS、CSCD、CSCD2013_2014

基金：Project supported by the National Natural Science Foundation of China (Grant Nos. 11205103 and 11075202).

语种：英文

中文关键词：非线性系统;高频信号;直接分离;公式推导;数值模拟;慢动作;振幅和;周期力

外文关键词：high frequency; nonlinear oscillator; inertial approximation; phase transitions

中文摘要：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.

外文摘要：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.