Periodic motions of forced infinite lattices with nearest neighbor interaction

被引：17
作者：
Torres, PJ [1 ]
机构：
[1] Univ Granada, Dept Matemat Aplicada, E-18071 Granada, Spain
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2000年 / 51卷 / 03期
关键词：
lattice; Toda interaction; singular forces; a priori bounds; Brouwer degree;
D O I：
10.1007/s000330050001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is proved the existence of an infinite number of periodic solutions of a infinite lattice of particles with a periodic perturbation and nearest neighbor interaction between particles, by using a priori bounds and topological degree together with a limiting argument. We consider a Toda lattice and a singular repulsive lattice as main situations. The question of order between particles is also discussed.
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页码：333 / 345
页数：13
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