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Regular and Chaotic Dynamics, 1997, Volume 2, Issue 3-4, Pages 90–105
DOI: https://doi.org/10.1070/RD1997v002n04ABEH000050 (Mi rcd1012) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the 60th birthday of V.I.Arnold

Codimension and typicity in a context of description of transition to chaos via period-doubling in dissipative dynamical systems

A. P. Kuznetsov, S. P. Kuznetsov, I. R. Sataev

410019, Russia, Saratov, 38, Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Saratov branch
Citations (1)
DOI: https://doi.org/10.1070/RD1997v002n04ABEH000050
Abstract: While considering multiparameter families of nonlinear systems, types of behavior at the onset of chaos may appear which are distinct from Feigenbaum's universality. We present a review of such situations which can be met in families of one-dimensional maps and discuss a possibility of their realization and observation in nonlinear dissipative systems of more general form.
Received: 15.11.1997
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. P. Kuznetsov, S. P. Kuznetsov, I. R. Sataev, “Codimension and typicity in a context of description of transition to chaos via period-doubling in dissipative dynamical systems”, Regul. Chaotic Dyn., 2:3-4 (1997), 90–105
Citation in format AMSBIB
\Bibitem{KuzKuzSat97}
\by A.~P.~Kuznetsov, S.~P.~Kuznetsov, I.~R.~Sataev
\paper Codimension and typicity in a context of description of transition to chaos via period-doubling in dissipative dynamical systems
\jour Regul. Chaotic Dyn.
\yr 1997
\vol 2
\issue 3-4
\pages 90--105
\mathnet{http://mi.mathnet.ru/rcd1012}
\crossref{https://doi.org/10.1070/RD1997v002n04ABEH000050}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1702341}
\zmath{https://zbmath.org/?q=an:1004.37503}
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    • This publication is cited in the following 1 articles:
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