可逆小马蹄形图的非对称鞍节点对

Progress of Theoretical Physics Pub Date : 2012-07-01 DOI:10.1143/PTP.128.15

Y. Yamaguchi, K. Tanikawa

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引用次数: 0

摘要

在可逆小马蹄铁中，我们引入了一个新的符号序列，而不是由符号0和1组成的符号序列。该系统是基于旋转数在0到1/2之间的共振区域的子区域se,F,S,a和dd。我们称之为E (p / q), F (p / q), S (p / q), D (p / q) F或0 < p / q < 1/2, E(1/2)和S(1/2)块。这些积木起到了符号的作用。因此，符号的数量是无限的。在这个系统中，空间划分得更精细，时间划分得更粗糙。给定一个周期轨道，我们想知道轨道的起源，也就是说，轨道是如何分叉的。在本文中，我们寻找鞍节点对的对分量。对于给定的一般型非对称周期轨道，我们提出了一种求轨道对分量的方法。如果不存在对分量，我们认为周期轨道是通过等周期分岔或倍周期分岔产生的。主题索引:030

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Nonsymmetric Saddle-Node Pairs for the Reversible Smale Horseshoe Map

In the reversible Smale horseshoe, we introduce a new symbol sequence other than the conventional one made of symbols 0 and 1. This system is based on subregionsE,F,S ,a ndD of resonance regions of rotation number between 0 and 1/2. We call E(p/q),F(p/q),S(p/q), and D(p/q )f or 0

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