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Modelirovanie i Analiz Informatsionnykh Sistem, 2015, Volume 22, Number 3, Pages 327–336
DOI: https://doi.org/10.18255/1818-1015-2015-3-327-336 (Mi mais444) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Bifurcation to chaos in the ñomplex Ginzburg–Landau equation with large third-order dispersion

I. Ovsyannikova, D. Turaevb, S. Zelikc

a Lobachevsky University of Nizhny Novgorod, 23 Prospekt Gagarina, 603950 Nizhny Novgorod, Russia
b Imperial College, London, 180 Queen’s Gate, London SW7 2AZ, UK
c University of Surrey, Guildford, GU2 7XH, UK
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DOI: https://doi.org/10.18255/1818-1015-2015-3-327-336
Abstract: We give an analytic proof of the existence of Shilnikov chaos in complex Ginzburg–Landau equation subject to a large third-order dispersion perturbation.
Keywords: bifurcations, chaos, Ginzburg–Landau equation.
Received: 20.05.2015
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: I. Ovsyannikov, D. Turaev, S. Zelik, “Bifurcation to chaos in the ñomplex Ginzburg–Landau equation with large third-order dispersion”, Model. Anal. Inform. Sist., 22:3 (2015), 327–336
Citation in format AMSBIB
\Bibitem{OvsTurZel15}
\by I.~Ovsyannikov, D.~Turaev, S.~Zelik
\paper Bifurcation to chaos in the ñomplex Ginzburg--Landau equation with large third-order dispersion
\jour Model. Anal. Inform. Sist.
\yr 2015
\vol 22
\issue 3
\pages 327--336
\mathnet{http://mi.mathnet.ru/mais444}
\crossref{https://doi.org/10.18255/1818-1015-2015-3-327-336}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3417965}
\elib{https://elibrary.ru/item.asp?id=23884402}
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