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Dynamics of a pair of coupled nonlinear oscillators

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Czechoslovak Journal of Physics Aims and scope

Abstract

A pair of coupled classical oscillators with a general potential and general form of coupling is investigated. For general potentials, the single-frequency solution is shown to be stable for small excitations. For special potentials, such system remains stable for an arbitrary excitation. In both cases, the stability does not depend on the form of coupling. Transition to the instability regime follows from the way how nonlinear potential entrains the energy transfer between the oscillators. Relation between the existence of multi-frequency quasi-periodic or periodic solutions and the instability of single-frequency ones is discussed.

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Authors and Affiliations

  1. Faculty of Mathematics and Physics, Charles University, Ke Karlovu 3, 121 16, Prague 2, Czech Republic

    Z. Morávek, J. Fiala & L. Skála

Authors
  1. Z. Morávek
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  2. J. Fiala
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  3. L. Skála
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Morávek, Z., Fiala, J. & Skála, L. Dynamics of a pair of coupled nonlinear oscillators. Czech J Phys 52, 843–851 (2002). https://doi.org/10.1023/A:1016215109485

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  • DOI: https://doi.org/10.1023/A:1016215109485

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