KAM theorem revisited

被引：16

作者：

Gentile, G ^{[1
]}

Mastropietro, V ^{[1
]}

机构：

[1] UNIV ROMA TOR VERGATA,DIPARTIMENTO MATEMAT,I-00133 ROME,ITALY

来源：

PHYSICA D | 1996年 / 90卷 / 03期

关键词：

classical mechanics; KAM theorem; perturbation theory; euclidean quantum field theory; renormalization group;

D O I：

10.1016/0167-2789(95)00251-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A combinatorial proof of the KAM theorem for the Thirring model is presented, by using renormalization group techniques usual in the formalism of quantum field theory.

引用

页码：225 / 234

页数：10

共 17 条

[1]

Arnold VI, 1963, USP MAT NAUK, V18, P113

[2]

Benfatto G., 1995, RENORMALIZATION GROU

[3]

Bryuno A. D., 1973, T MOSCOW MATH SOC, V25, P131

[4]

BRYUNO AD, 1972, T MOSCOW MATH SOC, V26, P199

[5]

CHIERCHIA L, 1995, ANN SCUOLA NORMALE S, V21, P541

[6]

Eliasson L.H., 1989, NONLINEAR DYNAMICS

[7]

ELIASSON LH, 1990, GENERALIZATION ESTIM

[8]

ELIASSON LH, 1988, 288 U STOCKH DEP MAT, P1

[9] RENORMALIZATION IN CLASSICAL MECHANICS AND MANY-BODY QUANTUM-FIELD THEORY [J].

FELDMAN, J ;

TRUBOWITZ, E .

JOURNAL D ANALYSE MATHEMATIQUE, 1992, 58 :213-247

[10] TWISTLESS KAM TORI [J].

GALLAVOTTI, G .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1994, 164 (01) :145-156

← 1 2 →