The resonance behavior in two coupled harmonic oscillators with fluctuating mass
العنوان: | The resonance behavior in two coupled harmonic oscillators with fluctuating mass |
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المؤلفون: | Lu Zhang, Suchuan Zhong, Tao Yu, Li Lai |
المصدر: | Nonlinear Dynamics. 96:1735-1745 |
بيانات النشر: | Springer Science and Business Media LLC, 2019. |
سنة النشر: | 2019 |
مصطلحات موضوعية: | Physics, Applied Mathematics, Mechanical Engineering, Aerospace Engineering, Ocean Engineering, Stochastic resonance (sensory neurobiology), 01 natural sciences, Resonance (particle physics), Expression (mathematics), Synchronization (alternating current), Coupling (physics), Amplitude, Control and Systems Engineering, Quantum electrodynamics, 0103 physical sciences, Strong coupling, Electrical and Electronic Engineering, 010301 acoustics, Harmonic oscillator |
الوصف: | This paper studies the resonance behavior in two coupled harmonic oscillators with fluctuating mass. Firstly, the statistic synchronization between the two particles is obtained and defined. Then, the analytical expression of the output amplitude gain is derived by using the stochastic averaging method. Based on the analytical result and some corresponding numerical results, we analyze the coupling’s influence on the resonance behaviors of the output amplitude gain, including the parameter-induced stochastic resonance, the bona fide resonance, and the stochastic resonance. In weak coupling region, the coupling can not only enhance or weaken the resonance behaviors, but also change the resonance forms. In strong coupling region, the two particles are forced together by the coupling force and move synchronously; thus, the coupling’s influence will vanish. Finally, some numerical simulations are performed to provide a verification and an intuitive understanding of the theoretical results. |
تدمد: | 1573-269X 0924-090X |
URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::c95424ec96e942076124a67f0d9af1b1 https://doi.org/10.1007/s11071-019-04881-2 |
حقوق: | CLOSED |
رقم الأكسشن: | edsair.doi...........c95424ec96e942076124a67f0d9af1b1 |
قاعدة البيانات: | OpenAIRE |
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