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 50 条

[1] KAM theorem revisited
Physica D, 3 (225):
[2] KAM THEOREM AND ISO-ENERGETIC KAM THEOREM ON POISSON MANIFOLD
Qian, Weichao
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2023, 13 (02): : 1088 - 1107
[3] AN ABSTRACT KAM THEOREM
Garay, Mauricio
MOSCOW MATHEMATICAL JOURNAL, 2014, 14 (04) : 745 - 772
[4] An analytic counterexample to the KAM theorem
Bessi, U
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2000, 20 : 317 - 333
[5] KAM theorem for Gevrey Hamiltonians
Popov, G
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2004, 24 : 1753 - 1786
[6] THE SEARCH FOR A QUANTUM KAM THEOREM
REICHL, LE
LIN, WA
FOUNDATIONS OF PHYSICS, 1987, 17 (07) : 689 - 697
[7] The KAM theorem and renormalization group
De Simone, E.
Kupiainen, A.
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2009, 29 : 419 - 431
[8] A KAM theorem for the defocusing NLS equation
Kappeler, Thomas
Liang, Zhenguo
JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 252 (06) : 4068 - 4113
[9] A note on the KAM theorem for symplectic mappings
Shang Z.-J.
Journal of Dynamics and Differential Equations, 2000, 12 (2) : 357 - 383
[10] A GEOMETRICAL-SETTING FOR THE KAM THEOREM
FERRARIO, C
LOVECCHIO, G
MARMO, G
MORANDI, G
LETTERE AL NUOVO CIMENTO, 1983, 38 (04): : 97 - 102

← 1 2 3 4 5 →