High frequency forcing on nonlinear systems

doi:10.1088/1674-1056/22/3/030503

中国物理B ›› 2013, Vol. 22 ›› Issue (3): 30503-030503.doi: 10.1088/1674-1056/22/3/030503

High frequency forcing on nonlinear systems

姚成贵^a, 何志威^{b c}, 占萌^b

a Department of Mathematics, Shaoxing University, Shaoxing 312000, China;
b 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;
c Graduate University of the Chinese Academy of Sciences, Beijing 100049, China

收稿日期:2012-07-06 修回日期:2012-08-24 出版日期:2013-02-01 发布日期:2013-02-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11205103 and 11075202).

High frequency forcing on nonlinear systems

Yao Cheng-Gui (姚成贵)^a, He Zhi-Wei (何志威)^{b c}, Zhan Meng (占萌)^b

a Department of Mathematics, Shaoxing University, Shaoxing 312000, China;
b 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;
c Graduate University of the Chinese Academy of Sciences, Beijing 100049, China

Received:2012-07-06 Revised:2012-08-24 Online:2013-02-01 Published:2013-02-01
Contact: Zhan Meng E-mail:zhanmeng@wipm.ac.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11205103 and 11075202).

摘要/Abstract

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 the 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 very good agreements with the theoretic result. These findings may shed light on our understanding of the dynamics of nonlinear systems subject to a periodic force.

关键词: high frequency, nonlinear oscillator, inertial approximation, phase transitions

Abstract: 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 the 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 very good agreements with the theoretic result. These findings may shed light on our understanding of the dynamics of nonlinear systems subject to a periodic force.

Key words: high frequency, nonlinear oscillator, inertial approximation, phase transitions

中图分类号: (Noise)

05.40.Ca

87.16.dj (Dynamics and fluctuations)

姚成贵, 何志威, 占萌. High frequency forcing on nonlinear systems[J]. 中国物理B, 2013, 22(3): 30503-030503.

Yao Cheng-Gui (姚成贵), He Zhi-Wei (何志威), Zhan Meng (占萌). High frequency forcing on nonlinear systems[J]. Chin. Phys. B, 2013, 22(3): 30503-030503.

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High frequency forcing on nonlinear systems

High frequency forcing on nonlinear systems

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