Soviet Physics Journal

, Volume 27, Issue 6, pp 522–530 | Cite as

Model description of a chain of coupled dynamic systems near order-disorder phase transitions

  • S. P. Kuznetsov
Solid State Physics


A method is suggested of phenomenological description of a chain of coupled systems, demonstrating during the variation of some parameter a transition from periodic to chaotic regimes through an infinite sequence of period doubling. The method consists of using models, chains of coupled, one-dimensional mappings. It is shown that from the point of view of chain behavior, following a large number of period doublings the coupling between the systems is a combination of two fundamental types of coupling; equality of the corresponding coupling coefficients for a chain and its models is the correspondence condition between them. A specific example is considered, a chain of parametrically excited nonlinear oscillators with dissipation.


Phase Transition Dynamic System Couple System Model Description Nonlinear Oscillator 
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Copyright information

© Plenum Publishing Corporation 1984

Authors and Affiliations

  • S. P. Kuznetsov
    • 1
  1. 1.Saratov State UniversityUSSR

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