Arithmetical method to detect integrability in maps

被引：31
|
作者：
Roberts, JAG [1 ]
Vivaldi, F
机构：
[1] Univ New S Wales, Sch Math, Sydney, NSW 2052, Australia
[2] Queen Mary Univ London, Sch Math Sci, London E1 4NS, England
来源：
PHYSICAL REVIEW LETTERS | 2003年 / 90卷 / 03期
关键词：
D O I：
10.1103/PhysRevLett.90.034102
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We develop a method to detect the presence of integrals of the motion in symplectic rational maps, by representing these maps over finite fields and examining their orbit structure. We find markedly different orbit statistics depending upon whether the map is integrable or not.
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页数：4
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