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On the dynamical equations of a system of linearly coupled nonlinear oscillators

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Abstract

We consider a system of differential equations that describes the dynamics of an infinite chain of linearly coupled nonlinear oscillators. Some results concerning the existence and uniqueness of global solutions of the Cauchy problem are obtained.

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Authors and Affiliations

  1. Vinnitsa Pedagogic University, Vinnitsa

    S. N. Bak & A. A. Pankov

  2. College of William and Mary, Williamsburg, USA

    A. A. Pankov

Authors
  1. S. N. Bak
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  2. A. A. Pankov
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 6, pp. 723–729, June, 2006.

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Bak, S.N., Pankov, A.A. On the dynamical equations of a system of linearly coupled nonlinear oscillators. Ukr Math J 58, 815–822 (2006). https://doi.org/10.1007/s11253-006-0105-6

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  • DOI: https://doi.org/10.1007/s11253-006-0105-6

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