COMPOSITION OF LIE TRANSFORMS WITH RIGOROUS ESTIMATES AND APPLICATIONS TO HAMILTONIAN PERTURBATION-THEORY

被引:9
作者
FASSO, F [1 ]
BENETTIN, G [1 ]
机构
[1] UNIV PADUA,DEPARTIMENTO FIS,I-35131 PADUA,ITALY
来源
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 1989年 / 40卷 / 03期
关键词
D O I
10.1007/BF00945008
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:307 / 329
页数:23
相关论文
共 22 条
[1]   STABILITY OF MOTIONS NEAR RESONANCES IN QUASI-INTEGRABLE HAMILTONIAN-SYSTEMS [J].
BENETTIN, G ;
GALLAVOTTI, G .
JOURNAL OF STATISTICAL PHYSICS, 1986, 44 (3-4) :293-338
[2]   A PROOF OF KOLMOGOROV THEOREM ON INVARIANT TORI USING CANONICAL-TRANSFORMATIONS DEFINED BY THE LIE METHOD [J].
BENETTIN, G ;
GALGANI, L ;
GIORGILLI, A ;
STRELCYN, JM .
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1984, 79 (02) :201-223
[3]   A PROOF OF NEKHOROSHEV THEOREM FOR THE STABILITY TIMES IN NEARLY INTEGRABLE HAMILTONIAN-SYSTEMS [J].
BENETTIN, G ;
GALGANI, L ;
GIORGILLI, A .
CELESTIAL MECHANICS, 1985, 37 (01) :1-25
[4]  
Deprit A., 1969, Celestial Mechanics, V1, P12, DOI 10.1007/BF01230629
[5]   LIE SERIES AND INVARIANT FUNCTIONS FOR ANALYTIC SYMPLECTIC MAPS [J].
DRAGT, AJ ;
FINN, JM .
JOURNAL OF MATHEMATICAL PHYSICS, 1976, 17 (12) :2215-2227
[6]  
Fasso F., UNPUB
[7]  
FASSO F, 1986, THESIS SISSA
[8]  
FASSO F, UNPUB RECURSIVE ALGO
[9]  
FINN JM, 1986, LECT NOTES PHYS, V252
[10]   FORMAL INTEGRALS FOR AN AUTONOMOUS HAMILTONIAN SYSTEM NEAR AN EQUILIBRIUM POINT [J].
GIORGILLI, A ;
GALGANI, L .
CELESTIAL MECHANICS, 1978, 17 (03) :267-280