A PROOF OF KOLMOGOROV THEOREM ON INVARIANT TORI USING CANONICAL-TRANSFORMATIONS DEFINED BY THE LIE METHOD

被引：90

作者：

BENETTIN, G

GALGANI, L

GIORGILLI, A

STRELCYN, JM

机构：

[1] CNR,NAZL STRUTTURA MAT GRP,I-35100 PADUA,ITALY

[2] UNIV MILAN,DEPARTIMENTO MATEMAT,I-20122 MILAN,ITALY

[3] UNIV PARIS 13,CTR SCI & POLYTECH,DEPT MATH,F-93430 VILLETANEUSE,FRANCE

来源：

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS | 1984年 / 79卷 / 02期

关键词：

D O I：

10.1007/BF02748972

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

引用

页码：201 / 223

页数：23

共 30 条

[1]

Arnol'd V. I., 1963, USP MAT NAUK, V18, P91

[2]

Arnol'd V.I., 1963, USPEHI MAT NAUK, V18, P85, DOI [10.1070/RM1963v018n06ABEH001143, DOI 10.1070/RM1963V018N06ABEH001143]

[3]

Arnol'd VI., 1963, RUSS MATH SURV, V18, P9, DOI [10.1070/RM1963v018n05ABEH004130, DOI 10.1070/RM1963V018N05ABEH004130]

[4]

Arnold V. I., 1967, PROBLEMES ERGODIQUES

[5]

Arnold V. I., 1963, USP MAT NAUK, V18, P13

[6]

Barrar R. B., 1970, Celestial Mechanics, V2, P494, DOI 10.1007/BF01625281

[7] SMOOTH PRIME INTEGRALS FOR QUASI-INTEGRABLE HAMILTONIAN-SYSTEMS [J].

CHIERCHIA, L ;

GALLAVOTTI, G .

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1982, 67 (02) :277-295

[8]

FUCHS BA, 1963, TRANSLATIONS MATH MO, V8

[9]

GALLAVOTTI G, 1980, MECCANICA ELEMENTARE

[10]

GALLAVOTTI G, 1982, PROGR PHYSICS