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Resonant response of a thermalized ensemble of nonlinear oscillators

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Abstract

The analysis is carried out of the response of the center of gravity (dipole moment) of the distribution of noninteracting thermalized nonlinear oscillators to a sinusoidal driving force. Heat bath coupling is modeled by damping and noise. The driving is weak, but the frequency is resonant, so that there is a nonlinear resonance in the phase space. The response has a linear part that can be obtained from the perturbation analysis and a small nonlinear correction that is specific for the resonant structure.

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Authors and Affiliations

  1. Fermi National Accelerator Laboratory (operated by the Universities Research Association, Inc., under contract with the U.S. Department of Energy), 60505, Batavia, Illinois

    A. Gerasimov

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  1. A. Gerasimov
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Gerasimov, A. Resonant response of a thermalized ensemble of nonlinear oscillators. J Stat Phys 70, 939–948 (1993). https://doi.org/10.1007/BF01053601

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  • DOI: https://doi.org/10.1007/BF01053601

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