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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 |
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| Cite this article: |
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FANG Ci-Jun, LIU Xian-Bin 2012 Chin. Phys. Lett. 29 050504 |
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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.
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Received: 12 January 2012
Published: 30 April 2012
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| PACS: |
05.45.-a
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(Nonlinear dynamics and chaos)
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05.90.+m
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(Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems)
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