I. Ovsyannikov, D. Turaev, S. Zelik, “Bifurcation to chaos in the сomplex Ginzburg–Landau equation with large third-order dispersion”, Model. Anal. Inform. Sist., 2015, Volume 22, Number 3,Pages <nobr>327

This article is cited in 2 papers

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

I. Ovsyannikov^a, D. Turaev^b, S. Zelik^c

^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

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.

UDC: 517.9

Received: 20.05.2015

Language: English

DOI: 10.18255/1818-1015-2015-3-327-336