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JOURNALS // Regular and Chaotic Dynamics // Archive

Regul. Chaotic Dyn., 2010 Volume 15, Issue 4-5, Pages 462–481 (Mi rcd510)

This article is cited in 17 papers

On the 60th birthday of professor V.V. Kozlov

On a homoclinic origin of Hénon-like maps

S. V. Gonchenko, V. S. Gonchenko, L. P. Shilnikov

Research Institute of Applied Mathematics and Cybernetics, Nizhny Novgorod State University, Russia

Abstract: We review bifurcations of homoclinic tangencies leading to Hénon-like maps of various kinds.

Keywords: homoclinic tangency, Hénon-like maps, saddle-focus fixed point, wild-hyperbolic attractor.

MSC: 37C29, 37G25, 37D45

Received: 17.12.2009
Accepted: 15.01.2010

Language: English

DOI: 10.1134/S1560354710040052



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