Existence of a homoclinic point for the H�non map

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Oct 1980 English Publisher:Springer Science and Business Media LLCJournal:Communications in Mathematical Physics, volume 75, pages 285-291 (issn: 0010-3616, eissn: 1432-0916,

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Authors: Misiurewicz, Michał; Szewc, Bolesław;

doi: 10.1007/bf01212713

Existence of a homoclinic point for the H�non map

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Abstract

We prove analytically that for the Henon map of the plane into itself (s, t)↦(t+1−1.4a2, 0.3s), there exists a transversal homoclinic point.

Related Organizations

University of Warsaw
Poland
Polish Academy of Sciences
Poland
Institute of Mathematics
Poland
University of Agriculture in Krakow
Poland

Keywords

65L99, Dynamical systems with hyperbolic behavior, Henon map of the plane, transversal homoclinic point, 58F13, Strange attractors, chaotic dynamics of systems with hyperbolic behavior

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