Arnold Diffusion in A Priori Chaotic Symplectic Maps

被引：19

作者：

Gelfreich, Vassili ^{[1
]}

Turaev, Dmitry ^{[2
,3
]}

机构：

[1] Univ Warwick, Math Inst, Coventry, W Midlands, England

[2] Imperial Coll, London, England

[3] Lobachevsky Univ Nizhny Novgorod, Nizhnii Novgorod, Russia

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2017年 / 353卷 / 02期

基金：

英国工程与自然科学研究理事会; 俄罗斯科学基金会;

关键词：

HAMILTONIAN-SYSTEMS; UNBOUNDED ENERGY; PERIODIC PERTURBATIONS; DYNAMICAL-SYSTEMS; INVARIANT TORI; ORBITS; INSTABILITY; TRANSITION; RESONANCES; CHAINS;

D O I：

10.1007/s00220-017-2867-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We assume that a symplectic real-analytic map has an invariant normally hyperbolic cylinder and an associated transverse homoclinic cylinder. We prove that generically in the real-analytic category the boundaries of the invariant cylinder are connected by trajectories of the map.

引用

页码：507 / 547

页数：41

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