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 [J].
CHURCHILL, RC ;
KUMMER, M ;
ROD, DL .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1983, 49 (03) :359-414
[4]   PATHOLOGY IN DYNAMICAL-SYSTEMS .3. ANALYTIC HAMILTONIANS [J].
CHURCHILL, RC ;
ROD, DL .
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 [J].
CHURCHILL, RC ;
ROD, DL .
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1986, 102 :345-363
[7]   PATHOLOGY IN DYNAMICAL-SYSTEMS .1. GENERAL THEORY [J].
CHURCHILL, RC ;
ROD, DL .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1976, 21 (01) :39-65
[8]   PATHOLOGY IN DYNAMICAL-SYSTEMS .2. APPLICATIONS [J].
CHURCHILL, RC ;
ROD, DL .
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 [J].
de Figueiredo, JCB ;
Ragazzo, CG ;
Malta, CP .
PHYSICS LETTERS A, 1998, 241 (1-2) :35-40
1234