Arnold diffusion in perturbations of analytic integrable Hamiltonian systems

被引：0

作者：

Fontich, E

Martín, P

机构：

[1] Univ Barcelona, Dept Matemat Aplicada & Anal, E-08007 Barcelona, Spain

[2] Univ Politecn Catalunya, Dept Matemat Aplicada 4, ES-08034 Barcelona, Spain

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2001年 / 7卷 / 01期

关键词：

Hamiltonian systems; invariant tori; heteroclinic solutions; Arnold diffusion;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given an analytic integrable Hamiltonian with three or more degrees of freedom, we construct, arbitrarily close to it, an analytic perturbation with transition chains whose lengths only depend on the unperturbed Hamiltonian. Then we deduce that the perturbed system has Arnold diffusion. We provide the technical details of the tools we use.

引用

页码：61 / 84

页数：24

共 25 条

[1] [Anonymous], CHICAGO LECT MATH SE
[2] [Anonymous], RUSS MATH SURV
[3] Arnold VI, 1964, SOV MATH DOKL, V5, P581
[4] An approach to Arnold's diffusion through the calculus of variations
Bessi, U
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1996, 26 (06) : 1115 - 1135
[5] Chow S-N., 2012, METHODS BIFURCATION
[6] Cohn P. M., 1982, ALGEBRA, V1
[7] A lambda-lemma for partially hyperbolic tori and the obstruction property
Cresson, J
[J]. LETTERS IN MATHEMATICAL PHYSICS, 1997, 42 (04) : 363 - 377
[8] Effective stability and KAM theory
Delshams, A
Gutierrez, P
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1996, 128 (02) : 415 - 490
[9] Exponentially small splitting of separatrices under fast quasiperiodic forcing
Delshams, A
Gelfreich, V
Jorba, A
Seara, TM
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1997, 189 (01) : 35 - 71
[10] DOUADY R, 1988, ANN SCI ECOLE NORM S, V21, P1

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