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期刊论文

The isolated saddle-node bifurcation occurring inside a horseshoe

曹永罗Yongluo CaoYongluo Cao † Shin Kiriki ‡

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摘要/描述

In this paper, we consider a smooth arc of diffeomorphisms which has a saddle-node bifurcation inside a nontrivial invariant set which is a deformation of a horseshoe. We show that this saddle-node bifurcation is isolated, that is, its hyperbolicity is maintained before and after the saddle-node bifurcation. Moreover we construct a C2-open set of arcs having the same property.

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【免责声明】以下全部内容由[曹永罗]上传于[2009年07月23日 14时46分10秒],版权归原创者所有。本文仅代表作者本人观点,与本网站无关。本网站对文中陈述、观点判断保持中立,不对所包含内容的准确性、可靠性或完整性提供任何明示或暗示的保证。请读者仅作参考,并请自行承担全部责任。

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