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Regular and Chaotic Dynamics, 2009, Volume 14, Issue 1, Pages 137–147
DOI: https://doi.org/10.1134/S1560354709010092 (Mi rcd543) 		 
This article is cited in 32 scientific papers (total in 32 papers)

JÜRGEN MOSER – 80

On Global Bifurcations in Three-Dimensional Diffeomorphisms Leading to Wild Lorenz-Like Attractors

S. V. Gonchenkoa, L. P. Shilnikova, D. V. Turaevb

a Research Institute of Applied Mathematics and Cybernetics, 10, Ulyanova Str. 603005 Nizhny Novgorod, Russia
b Ben Gurion University, Beer-Sheva, Israel
Citations (32)
DOI: https://doi.org/10.1134/S1560354709010092
Abstract: We study dynamics and bifurcations of three-dimensional diffeomorphisms with nontransverse heteroclinic cycles. We show that bifurcations under consideration lead to the birth of wild-hyperbolic Lorenz attractors. These attractors can be viewed as periodically perturbed classical Lorenz attractors, however, they allow for the existence of homoclinic tangencies and, hence, wild hyperbolic sets.
Keywords: homoclinic tangency, strange attractor, Lorenz attractor, wild-hyperbolic attractor.
Received: 09.11.2008
Accepted: 28.12.2008
Bibliographic databases:
Document Type: Personalia
MSC: 37C29, 37G25, 37D45
Language: English
Citation: S. V. Gonchenko, L. P. Shilnikov, D. V. Turaev, “On Global Bifurcations in Three-Dimensional Diffeomorphisms Leading to Wild Lorenz-Like Attractors”, Regul. Chaotic Dyn., 14:1 (2009), 137–147
Citation in format AMSBIB
\Bibitem{GonShiTur09}
\by S. V. Gonchenko, L. P. Shilnikov, D. V. Turaev
\paper On Global Bifurcations in Three-Dimensional Diffeomorphisms Leading to Wild Lorenz-Like Attractors
\jour Regul. Chaotic Dyn.
\yr 2009
\vol 14
\issue 1
\pages 137--147
\mathnet{http://mi.mathnet.ru/rcd543}
\crossref{https://doi.org/10.1134/S1560354709010092}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2480955}
\zmath{https://zbmath.org/?q=an:1229.37041}
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    • This publication is cited in the following 32 articles:
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