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Regular and Chaotic Dynamics, 2008, Volume 13, Issue 1, Pages 9–18
DOI: https://doi.org/10.1134/S1560354708010024 (Mi rcd555) 		 
Dynamics of Coupled Non-Identical Systems with Period-Doubling Cascade

A. P. Kuznetsovab, I. R. Sataeva, Yu. V. Sedovaab

a Institute of Radio-Engineering and Electronics, RAS, ul. Zelenaya 38, Saratov, 410019 Russia
b Saratov State University, ul. Astrakhanskaya 83, Saratov, 410012 Russia
DOI: https://doi.org/10.1134/S1560354708010024
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.
Keywords: criticality, universality, transition to chaos, coupled maps, bifurcation, terminal point.
Received: 14.09.2007
Accepted: 08.11.2007
Bibliographic databases:
Document Type: Article
MSC: 34C15, 37D45, 37E20
Language: English
Citation: A. P. Kuznetsov, I. R. Sataev, Yu. V. Sedova, “Dynamics of Coupled Non-Identical Systems with Period-Doubling Cascade”, Regul. Chaotic Dyn., 13:1 (2008), 9–18
Citation in format AMSBIB
\Bibitem{KuzSatSed08}
\by A.~P.~Kuznetsov, I.~R.~Sataev, Yu.~V.~Sedova
\paper Dynamics of Coupled Non-Identical Systems with Period-Doubling Cascade
\jour Regul. Chaotic Dyn.
\yr 2008
\vol 13
\issue 1
\pages 9--18
\mathnet{http://mi.mathnet.ru/rcd555}
\crossref{https://doi.org/10.1134/S1560354708010024}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2383294}
\zmath{https://zbmath.org/?q=an:1229.34053}
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