Connecting orbits for a reversible Hamiltonian system

被引：20

作者：

Rabinowitz, PH ^{[1
]}

机构：

[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2000年 / 20卷

关键词：

D O I：

10.1017/S0143385700000985

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of heteroclinic and homoclinic solutions which shadow corresponding chains of such solutions is established for a class of reversible Hamiltonian systems. The proof involves elementary minimization arguments.

引用

页码：1767 / 1784

页数：18

共 50 条

[41] Connecting orbits for a periodically forced singular planar Newtonian system
Marek Izydorek
Joanna Janczewska
Journal of Fixed Point Theory and Applications, 2012, 12 : 59 - 67
[42] Homoclinic Orbits for Second Order Hamiltonian System with Quadratic Growth
吴绍平
数学进展, 1994, (02) : 181 - 182
[43] Homoclinic orbits for an infinite dimensional Hamiltonian system with periodic potential
Zhang J.
Lv D.
Tang Y.
Journal of Applied Mathematics and Computing, 2014, 44 (1-2) : 133 - 146
[44] BIFURCATIONS FROM HOMOCLINIC ORBITS FOR SECOND ORDER HAMILTONIAN SYSTEM
WU Shaoping YANG Haitao(Department of Mathematics
SystemsScienceandMathematicalSciences, 1998, (01) : 47 - 52
[45] Nonstationary homoclinic orbits for an infinite-dimensional Hamiltonian system
Yang, Minbo
JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (10)
[46] Classifying orbits in the classical Henon-Heiles Hamiltonian system
Zotos, Euaggelos E.
NONLINEAR DYNAMICS, 2015, 79 (03) : 1665 - 1677
[47] Existence of orbits homoclinic to an elliptic equilibrium, for a reversible system
Iooss, G
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1997, 324 (09): : 993 - 997
[48] HOMOCLINIC ORBITS FOR SECOND ORDER HAMILTONIAN SYSTEM WITH QUADRATIC GROWTH
WU SHAOPING AND LIU JIAQUAN
Applied Mathematics:A Journal of Chinese Universities(Series B), 1995, (04) : 399 - 410
[49] On the Limit Cycles Bifurcating from the Periodic Orbits of a Hamiltonian System
Anacona, Gerardo H.
Llibre, Jaume
Freitas, Bruno
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2025, 35 (04):
[50] On Behavior of the Periodic Orbits of a Hamiltonian System of Bifurcation of Limit Cycles
Menaceur, Amor
Abdalla, Mohamed
Idris, Sahar Ahmed
Mekawy, Ibrahim
MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021

← 1 2 3 4 5 →