CANTORI FOR SYMPLECTIC MAPS NEAR THE ANTI-INTEGRABLE LIMIT

被引：51

作者：

MACKAY, RS ^{[1
]}

MEISS, JD ^{[1
]}

机构：

[1] UNIV COLORADO,BOULDER,CO 80309

来源：

NONLINEARITY | 1992年 / 5卷 / 01期

关键词：

D O I：

10.1088/0951-7715/5/1/006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of 'cantori' of all incommensurate rotation vectors, for symplectic maps of arbitrary dimension near enough to any non-degenerate anti-integrable limit, and derive an asymptotic form for them. Cantori are invariant Cantor sets which can be though of as remnants of KAM tori.

引用

页码：149 / 160

页数：12

共 41 条

[1]

ARNOLD VI, 1986, ERGODIC PROBLEMS CLA

[2]

Aubry S., 1978, Solitons and Condensed Matter Physics, P264

[3] CHAOTIC TRAJECTORIES IN THE STANDARD MAP - THE CONCEPT OF ANTIINTEGRABILITY [J].