Birth of discrete Lorenz attractors at the bifurcations of 3D maps with homoclinic tangencies to saddle points

被引：0
作者：
Sergey V. Gonchenko
Ivan I. Ovsyannikov
Joan C. Tatjer
机构：
[1] Nizhny Novgorod State University,Dept. de Matemàtica Aplicada i Anàlisi
[2] Imperial College London,undefined
[3] Universitat de Barcelona,undefined
来源：
Regular and Chaotic Dynamics | 2014年 / 19卷
关键词：
Homoclinic tangency; rescaling; 3D Hénon map; bifurcation; Lorenz-like attractor; 37C05; 37G25; 37G35;
D O I：
暂无
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学科分类号：
摘要：
It was established in [1] that bifurcations of three-dimensional diffeomorphisms with a homoclinic tangency to a saddle-focus fixed point with the Jacobian equal to 1 can lead to Lorenz-like strange attractors. In the present paper we prove an analogous result for three-dimensional diffeomorphisms with a homoclinic tangency to a saddle fixed point with the Jacobian equal to 1, provided the quadratic homoclinic tangency under consideration is nonsimple.
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页码：495 / 505
页数：10
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