CASCADE OF HOMOCLINIC ORBITS FOR HAMILTONIAN-SYSTEMS - FURTHER PROPERTIES

被引:6
作者
BUFFONI, B
机构
[1] School of Mathematical Sciences, University of Bath, Claverton Down, Bath
关键词
D O I
10.1088/0951-7715/6/6/016
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we prove that the symmetric homoclinic orbits found by A R Champneys and J F Toland for a family of autonomous Hamiltonian systems are well arranged. Moreover, we show that if the nonlinearity is odd, then there exist infinitely many odd homoclinic orbits.
引用
收藏
页码:1091 / 1092
页数:2
相关论文
共 1 条
[1]   BIFURCATION OF A PLETHORA OF MULTIMODAL HOMOCLINIC ORBITS FOR AUTONOMOUS HAMILTONIAN-SYSTEMS [J].
CHAMPNEYS, AR ;
TOLAND, JF .
NONLINEARITY, 1993, 6 (05) :665-721