HOMOCLINIC AND HETEROCLINIC ORBITS FOR A CLASS OF HAMILTONIAN-SYSTEMS

被引：49

作者：

RABINOWITZ, PH

机构：

[1] UNIV WISCONSIN,DEPT MATH,MADISON,WI 53706

[2] UNIV WISCONSIN,CTR MATH SCI,MADISON,WI 53706

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 1993年 / 1卷 / 01期

关键词：

Mathematics Subject Classification: 34C99; 58E99; 58F99;

D O I：

10.1007/BF02163262

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of a rich structure of homoclinic and heteroclinic solutions is established for a family of Hamiltonian systems that serve as a simpler model for the multiple pendulum system. The proof is based on recently developed arguments from the calculus of variations that have proved useful in finding actual solutions of an equation near approximate solution.

引用

页码：1 / 36

页数：36

共 15 条

[1]

Chow S-N., 1991, APPL ANAL, V42, P275

[2] THE BIFURCATION OF HOMOCLINIC AND PERIODIC-ORBITS FROM 2 HETEROCLINIC ORBITS [J].