CANTORI FOR SYMPLECTIC MAPS

被引:5
作者
CHEN, Q
MACKAY, RS
MEISS, JD
机构
[1] UNIV CALIF BERKELEY LAWRENCE BERKELEY LAB, BERKELEY, CA 94720 USA
[2] UNIV WARWICK, INST MATH, COVENTRY CV4 7AL, W MIDLANDS, ENGLAND
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 21期
关键词
D O I
10.1088/0305-4470/23/21/004
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The authors construct invariant sets for the 2d-dimensional generalization of the sawtooth map which are semi-conjugate to any incommensurate rotation vector. When d<or=2 they show that these are Cantor sets. These invariant sets are hyperbolic, and they give a structural stability argument to show the existence of cantori for a non-trivial class of smooth symplectic maps.
引用
收藏
页码:L1093 / L1100
页数:8
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