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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
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
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
Linking options:
https://www.mathnet.ru/eng/rcd543 https://www.mathnet.ru/eng/rcd/v14/i1/p137
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