FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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Vibrational Resonance in Fractional-Order Anharmonic Oscillators |
YANG Jian-Hua** |
School of Mechanical and Electrical Engineering, China University of Mining and Technology, Xuzhou 221116
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Cite this article: |
YANG Jian-Hua 2012 Chin. Phys. Lett. 29 104501 |
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Abstract The phenomenon of vibrational resonance in fractional-order anharmonic oscillators is investigated. Based on the method of separating slow and fast motions, the approximate solution of the response amplitude is obtained. Both analytical and numerical results show that not only the high-frequency signal but also the fractional-order damping can induce vibrational resonance. The present results provide a new way to control periodical signals in coupled systems.
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Received: 04 May 2012
Published: 01 October 2012
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PACS: |
45.10.Hj
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(Perturbation and fractional calculus methods)
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33.20.Tp
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(Vibrational analysis)
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05.45.Xt
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(Synchronization; coupled oscillators)
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