Symbolic dynamics for the Henon-Heiles Hamiltonian on the critical level

被引：36

作者：

Arioli, G

Zgliczynski, P

机构：

[1] Dip Sci & TA, I-15100 Alessandria, Italy

[2] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2001年 / 171卷 / 01期

关键词：

symbolic dynamics; periodic points; covering relations; computer assisted proof;

D O I：

10.1006/jdeq.2000.3835

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a computer assisted proof of the existence of a rich symbolic dynamic structure for the Henon-Heiles Hamiltonian system at the critical energy E = 1/6. (C) 2001 Academic Press.

引用

收藏

页码：173 / 202

页数：30

相关论文

共 34 条

[1] 24Walters P., 2000, An Introduction to Ergodic Theory, V79
[2] [Anonymous], TOPOL METHODS NONLIN
[3] ON AVERAGING, REDUCTION, AND SYMMETRY IN HAMILTONIAN-SYSTEMS
CHURCHILL, RC
KUMMER, M
ROD, DL
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1983, 49 (03) : 359 - 414
[4] PATHOLOGY IN DYNAMICAL-SYSTEMS .3. ANALYTIC HAMILTONIANS
CHURCHILL, RC
ROD, DL
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1980, 37 (01) : 23 - 38
[5] CHURCHILL RC, 1980, ARCH RATION MECH AN, V73, P313, DOI 10.1007/BF00247673
[6] HOMOCLINIC AND HETEROCLINIC ORBITS OF REVERSIBLE VECTOR-FIELDS UNDER PERTURBATION
CHURCHILL, RC
ROD, DL
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1986, 102 : 345 - 363
[7] PATHOLOGY IN DYNAMICAL-SYSTEMS .1. GENERAL THEORY
CHURCHILL, RC
ROD, DL
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1976, 21 (01) : 39 - 65
[8] PATHOLOGY IN DYNAMICAL-SYSTEMS .2. APPLICATIONS
CHURCHILL, RC
ROD, DL
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1976, 21 (01) : 66 - 112
[9] CHURCHILL RC, 1979, LECTURE NOTES PHYSIC, V93, P76
[10] Two important numbers in the Henon-Heiles dynamics
de Figueiredo, JCB
Ragazzo, CG
Malta, CP
[J]. PHYSICS LETTERS A, 1998, 241 (1-2) : 35 - 40

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