THEORY OF THE LIAPUNOV EXPONENTS OF HAMILTONIAN-SYSTEMS AND A NUMERICAL STUDY ON THE TRANSITION FROM REGULAR TO IRREGULAR CLASSICAL MOTION

被引：154

作者：

MEYER, HD

机构：

来源：

关键词：

D O I：

10.1063/1.450296

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

引用

页码：3147 / 3161

页数：15

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[1] Arnold V.I., 1978, GRADUATE TEXTS MATH, DOI DOI 10.1007/978-1-4757-1693-1
[2] ARNOLD VI, 1968, ERGODIC PROBLEMS CLA, pCH2
[3] BAKHVALOV NS, 1977, NUMERICAL METHODS
[4] KOLMOGOROV ENTROPY AND NUMERICAL EXPERIMENTS
BENETTIN, G
GALGANI, L
STRELCYN, JM
[J]. PHYSICAL REVIEW A, 1976, 14 (06): : 2338 - 2345
[5] KOLMOGOROV ENTROPY OF A DYNAMICAL SYSTEM WITH AN INCREASING NUMBER OF DEGREES OF FREEDOM
BENETTIN, G
FROESCHLE, C
SCHEIDECKER, JP
[J]. PHYSICAL REVIEW A, 1979, 19 (06): : 2454 - 2460
[6] SPACINGS DISTRIBUTION FOR HIGHLY EXCITED VIBRATIONAL-STATES - ROLE OF DYNAMICAL SYMMETRY
BENJAMIN, I
BUCH, V
GERBER, RB
LEVINE, RD
[J]. CHEMICAL PHYSICS LETTERS, 1984, 107 (06) : 515 - 521
[7] SEMICLASSICAL LEVEL SPACINGS WHEN REGULAR AND CHAOTIC ORBITS COEXIST
BERRY, MV
ROBNIK, M
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (12): : 2413 - 2421
[8] LEVEL CLUSTERING IN REGULAR SPECTRUM
BERRY, MV
TABOR, M
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1977, 356 (1686): : 375 - 394
[9] Berry MV., 1978, TOPICS NONLINEAR DYN, P16
[10] CHARACTERIZATION OF CHAOTIC QUANTUM SPECTRA AND UNIVERSALITY OF LEVEL FLUCTUATION LAWS
BOHIGAS, O
GIANNONI, MJ
SCHMIT, C
[J]. PHYSICAL REVIEW LETTERS, 1984, 52 (01) : 1 - 4