SYMBOLIC KINETIC-ANALYSIS OF 2-DIMENSIONAL MAPS

被引：22

作者：

RECHESTER, AB ^{[1
]}

WHITE, RB ^{[1
]}

机构：

[1] PRINCETON UNIV,PLASMA PHYS LAB,PRINCETON,NJ 08543

来源：

PHYSICS LETTERS A | 1991年 / 158卷 / 1-2期

关键词：

D O I：

10.1016/0375-9601(91)90339-A

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Symbolic dynamics is used to partition phase space for the Henon attractor and the Chirikov-Taylor map. The method used for constructing the generating partitions appears to be applicable to many dynamical systems. The discretized time evolution equation is used to calculate statistical properties such as the correlation function.

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收藏

页码：51 / 56

页数：6

相关论文

共 16 条

[1]

Chirikov BV, 1979, PHYS REP, V52, P265

[2] ON COMPUTING THE ENTROPY OF THE HENON ATTRACTOR [J].

CURRY, JH .

JOURNAL OF STATISTICAL PHYSICS, 1981, 26 (04) :683-695

[3]

DEVANEY RL, 1989, INTRO CHAOTIC DYNAMI, P184

[4] GENERATING PARTITIONS FOR THE DISSIPATIVE HENON MAP [J].

GRASSBERGER, P ;

KANTZ, H .

PHYSICS LETTERS A, 1985, 113 (05) :235-238

[5] NUMERICAL STUDY OF QUADRATIC AREA-PRESERVING MAPPINGS [J].

HENON, M .

QUARTERLY OF APPLIED MATHEMATICS, 1969, 27 (03) :291-&

[6] 2-DIMENSIONAL MAPPING WITH A STRANGE ATTRACTOR [J].

HENON, M .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1976, 50 (01) :69-77

[7] EFFECT OF NOISE ON THE STANDARD MAPPING [J].

KARNEY, CFF ;

RECHESTER, AB ;

WHITE, RB .

PHYSICA D, 1982, 4 (03) :425-438

[8] FINITE APPROXIMATION FOR FROBENIUS-PERRON OPERATOR - SOLUTION TO ULAMS CONJECTURE [J].

LI, TY .

JOURNAL OF APPROXIMATION THEORY, 1976, 17 (02) :177-186

[9]

LICHTENBERG AJ, 1983, REGULAR STOCHASTIC M, P389

[10] FOURIER-SPACE PATHS APPLIED TO THE CALCULATION OF DIFFUSION FOR THE CHIRIKOV-TAYLOR MODEL [J].

RECHESTER, AB ;

ROSENBLUTH, MN ;

WHITE, RB .

PHYSICAL REVIEW A, 1981, 23 (05) :2664-2672