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Regular and Chaotic Dynamics

, Volume 13, Issue 1, pp 9–18 | Cite as

Dynamics of coupled non-identical systems with period-doubling cascade

  • A. P. KuznetsovEmail author
  • I. R. Sataev
  • J. V. Sedova
Research Articles
  • 19 Downloads

Abstract

We discuss the structure of bifurcation diagram in the plane of parameters controlling period-doublings for the system of coupled logistic maps. The analysis is carried out by computing the charts of dynamical regimes and charts of Lyapunov exponents giving showy and effective illustrations. The critical point of codimension two at the border of chaos is found. It is a terminal point for the Feigenbaum critical line. The bifurcation analysis in the vicinity of this point is presented.

Key words

criticality universality transition to chaos coupled maps bifurcation terminal point 

MSC2000 numbers

34C15 37D45 37E20 

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Copyright information

© Pleiades Publishing, Ltd. 2008

Authors and Affiliations

  • A. P. Kuznetsov
    • 1
    • 2
    Email author
  • I. R. Sataev
    • 1
  • J. V. Sedova
    • 1
    • 2
  1. 1.Institute of Radio-Engineering and ElectronicsRASSaratovRussia
  2. 2.Saratov State UniversitySaratovRussia

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