The transversal homoclinic points are dense in the codimension-1 Hénon-like strange attractors期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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The transversal homoclinic points are dense in the codimension-1 Hénon-like strange attractors

Authors:	Yongluo Cao

Institution:	Department of Mathematics, Suzhou University, Suzhou 215006, Jiangsu, People's Republic of China

Abstract:	We consider the codimension-1 Hénon-like strange attractors $\Lambda$ . We prove that the transversal homoclinic points are dense in $\Lambda$ , and that hyperbolic periodic points are dense in $\Lambda$ . Moreover the hyperbolic periodic points that are heteroclinically related to the primary fixed point ( transversal intersection of stable and unstable manifolds) are dense in $\Lambda$ .

Keywords:	H\'{e}non-like strange attractor transversal homoclinic point

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