High frequency forcing on nonlinear systems |
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| Authors: | Yao Cheng-Gui He Zhi-Wei Zhan Meng |
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| Affiliation: | 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 |
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| 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. |
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| Keywords: | high frequency nonlinear oscillator inertial approximation phase transitions |
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