Improved exponential stability for near-integrable quasi-convex Hamiltonians

被引：20

作者：

Bounemoura, Abed ^{[1
]}

Marco, Jean-Pierre ^{[2
]}

机构：

[1] Univ Paris 11, Math Lab, F-91405 Orsay, France

[2] Inst Math Jussieu, F-75252 Paris, France

来源：

NONLINEARITY | 2011年 / 24卷 / 01期

关键词：

SYSTEMS;

D O I：

10.1088/0951-7715/24/1/005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we improve previous results on exponential stability for analytic and Gevrey perturbations of quasi-convex integrable Hamiltonian systems. In particular, this provides a sharper lower bound on the time of Arnold diffusion which we believe to be optimal.

引用

页码：97 / 112

页数：16

共 15 条

[1] Stability and instability for Gevrey quasi-convex near-integrable Hamiltonian systems
Jean-Pierre Marco
David Sauzin
Publications Mathématiques de l'Institut des Hautes Études Scientifiques, 2003, 96 (1): : 199 - 275
[2] Stability and instability for Gevrey quasi-convex near-integrable Hamiltonian systems
Marco, JP
Sauzin, D
PUBLICATIONS MATHEMATIQUES, NO 96, 2003, (96): : 199 - 275
[3] QUASICONCAVE QUASI-CONVEX HAMILTONIANS
ATTEIA, M
ELQORTOBI, A
RAIRO-RECHERCHE OPERATIONNELLE-OPERATIONS RESEARCH, 1991, 25 (04): : 425 - 438
[4] An example of Arnold diffusion for near-integrable Hamiltonians
Kaloshin, Vadim
Levi, Mark
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 45 (03) : 409 - 427
[5] Effective stability for slow time-dependent near-integrable Hamiltonians and application
Bounemoura, Abed
COMPTES RENDUS MATHEMATIQUE, 2013, 351 (17-18) : 673 - 676
[6] Improved stability for analytic quasi-convex nearly integrable systems and optimal speed of Arnold diffusion
Zhang, Jianlu
Zhang, Ke
NONLINEARITY, 2017, 30 (07) : 2918 - 2929
[7] Nekhoroshev estimates for finitely differentiable quasi-convex Hamiltonians
Bounemoura, Abed
JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 249 (11) : 2905 - 2920
[8] A STABILITY RESULT IN QUASI-CONVEX PROGRAMMING
AZE, D
VOLLE, M
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1990, 67 (01) : 175 - 184
[9] A QUASI-PERIODIC ROUTE TO CHAOS IN A NEAR-INTEGRABLE PDE
BISHOP, AR
FOREST, MG
MCLAUGHLIN, DW
OVERMAN, EA
PHYSICA D, 1986, 23 (1-3): : 293 - 328
[10] Stability islands in the vicinity of separatrices of near-integrable symplectic maps
Simo, Carles
Treschev, Dmitri
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2008, 10 (2-3): : 681 - 698

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