GENERATING PARTITION FOR THE STANDARD MAP

被引：42
作者：
CHRISTIANSEN, F [1 ]
POLITI, A [1 ]
机构：
[1] IST NAZL FIS NUCL, I-50125 FLORENCE, ITALY
来源：
PHYSICAL REVIEW E | 1995年 / 51卷 / 05期
关键词：
D O I：
10.1103/PhysRevE.51.R3811
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
A procedure to obtain the symbolic dynamics for conservative dynamical systems is introduced with reference to the standard map in a strongly chaotic regime. The method extends an approach previously developed for highly dissipative systems. It is based on the construction of a generating partition from homoclinic tangencies and fibers of invariant manifolds. It is found that some arbitrariness in the construction of the partition is unavoidable. © 1995 The American Physical Society.
引用
收藏
页码：R3811 / R3814
页数：4
相关论文
共 10 条
[1]   CHARACTERIZATION OF UNSTABLE PERIODIC-ORBITS IN CHAOTIC ATTRACTORS AND REPELLERS [J].
BIHAM, O ;
WENZEL, W .
PHYSICAL REVIEW LETTERS, 1989, 63 (08) :819-822
[2]   ERGODIC-THEORY OF CHAOS AND STRANGE ATTRACTORS [J].
ECKMANN, JP ;
RUELLE, D .
REVIEWS OF MODERN PHYSICS, 1985, 57 (03) :617-656
[3]   HOMOCLINIC TANGENCIES, GENERATING PARTITIONS AND CURVATURE OF INVARIANT-MANIFOLDS [J].
GIOVANNINI, F ;
POLITI, A .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (08) :1837-1887
[4]   GENERATING PARTITIONS IN HENON-TYPE MAPS [J].
GIOVANNINI, F ;
POLITI, A .
PHYSICS LETTERS A, 1992, 161 (04) :332-336
[5]   GENERATING PARTITIONS FOR THE DISSIPATIVE HENON MAP [J].
GRASSBERGER, P ;
KANTZ, H .
PHYSICS LETTERS A, 1985, 113 (05) :235-238
[6]  
HANSE K, 1993, THESIS U OSLO
[7]   REMARKS ON THE SYMBOLIC DYNAMICS FOR THE HENON MAP [J].
HANSEN, KT .
PHYSICS LETTERS A, 1992, 165 (02) :100-104
[8]  
Ruelle D., 1978, THERMODYNAMIC FORMAL
[9]  
Sinai 7.G., 1972, USP MAT NAUK, V27, P21
[10]  
[No title captured]
1