Transversal homoclinic points of the Hénon map

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• 作者：Urs Kirchgraber ; Daniel Stoffer
• 关键词：H&eacute ; non map - transversal homoclinic point - shadowing
• 刊名：Annali di Matematica Pura ed Applicata
• 出版年：2006
• 出版时间：January 2006
• 年：2006
• 卷：185
• 期：0
• 页码：S187-S204
• 全文大小：338 KB

文摘

Using shadowing techniques we prove that the Hénon map cle_142_TeX2GIFIEq1.gif"" alt=""$H_{a,b}(x,y)=(a-x^{2}+by,x)$"" align=""middle"" border=""0""> admits a transversal homoclinic point for a set of parameters which is not small. For the area and orientation preserving Hénon map (corresponding to b