Homoclinic orbits of a Hamiltonian system

被引：66
作者：
Ding, YH [1 ]
Willem, M
机构：
[1] Acad Sinica, Inst Math, Beijing 100080, Peoples R China
[2] Univ Catholique Louvain, Dept Math, B-1348 Louvain, Belgium
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 1999年 / 50卷 / 05期
关键词：
homoclinic orbits; Hamiltonian systems; linking theorem; concentation-compactness;
D O I：
10.1007/s000330050177
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish existence results of homoclinic orbits of the first order time-dependent Hamiltonian system (z)over dot = JH(z) (t, z), where H(t, z) depends periodically on t, H(t, z) = (1)/(2)zL(t)z + W(t , z), L(t) is a symmetric matrix valued function and W(t, z) satisfies certain global superquadratic condition. We relax partly the assumption often used before: L is independent of t and sp(JL)boolean AND iR = phi.
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页码：759 / 778
页数：20
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