Nonlinear Dynamics of Strongly Non-Homogeneous Chains with Symmetric Characteristics

  • D. V. Gorlov
  • L. I. Manevitch


Homogeneous chains of coupled nonlinear oscillators have become the subject of great interest in connection with different physical and mechanical problems1,2. One of the most efficient techniques for study of corresponding mathematical problems implies the use of complex variables and further multiple-scale expansions2.


Initial System Elastic Characteristic Acoustic Oscillation Interesting Situation Envelope Soliton 
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  1. 1.
    Kosevitch A.M. and Kovalyov A.S., 1974. Introduction to nonlinear physical mechanics (in Russian). Naukova dumka, Kiev, pp. 57–71, 107–119.Google Scholar
  2. 2.
    Manevitch L.I. 1999, Complex representation of dynamics of coupled nonlinear oscillators. In: Mathematical models of non—linear excitations, transfer, dynamics, and control in condensed systems and other media. Kluwer Academic/Plenum publishers.Google Scholar
  3. 3.
    Manevitch L.1.2001, The description of localized normal modes in a chain of nonlinear coupled oscillators: using of comlex variables. Nonlinear Dynamics. (to be published)Google Scholar

Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • D. V. Gorlov
    • 1
  • L. I. Manevitch
    • 2
  1. 1.Russian State University of Oil and GasMoscowRussia
  2. 2.Institute of Chemical PhysicsMoscowRussia

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