Theoretical Analysis on the Vibrational Resonance in Two Coupled Overdamped Anharmonic Oscillators
FANG Ci-Jun1, 2,LIU Xian-Bin1**
1State Key Laboratory of Mechanics and Control of Mechanical Structures, College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016 2School of Science, Hubei University of Technology, Wuhan 430068
Theoretical Analysis on the Vibrational Resonance in Two Coupled Overdamped Anharmonic Oscillators
FANG Ci-Jun1, 2,LIU Xian-Bin1**
1State Key Laboratory of Mechanics and Control of Mechanical Structures, College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016 2School of Science, Hubei University of Technology, Wuhan 430068
摘要Under both low- and high-frequency signals, the phenomenon of vibrational resonance in two coupled overdamped anharmonic oscillators with time delay feedback is investigated. By separating the slow and fast motions, the approximate solution of the response amplitude of the coupled oscillators is obtained, and the analytical results are in good agreement with the numerical ones. In the delay-free systems, the traditional vibrational resonance is presented, and in the delayed systems, the delay-induced periodic pattern of the vibrational resonance profile with respect to the delay parameter is revealed.
Abstract：Under both low- and high-frequency signals, the phenomenon of vibrational resonance in two coupled overdamped anharmonic oscillators with time delay feedback is investigated. By separating the slow and fast motions, the approximate solution of the response amplitude of the coupled oscillators is obtained, and the analytical results are in good agreement with the numerical ones. In the delay-free systems, the traditional vibrational resonance is presented, and in the delayed systems, the delay-induced periodic pattern of the vibrational resonance profile with respect to the delay parameter is revealed.
(Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems)
引用本文:
FANG Ci-Jun,LIU Xian-Bin**. Theoretical Analysis on the Vibrational Resonance in Two Coupled Overdamped Anharmonic Oscillators[J]. 中国物理快报, 2012, 29(5): 50504-050504.
FANG Ci-Jun,LIU Xian-Bin**. Theoretical Analysis on the Vibrational Resonance in Two Coupled Overdamped Anharmonic Oscillators. Chin. Phys. Lett., 2012, 29(5): 50504-050504.
2012, Vol. 29 
