Necessary and sufficient conditions for existence of periodic motions of forced systems of particles

被引：0
|
作者：
P. J. Torres
机构：
[1] International School for Advanced Studies ISAS-SISSA,
[2] Trieste (Italy),undefined
[3] permanent address: Dep. de Matemática Aplicada,undefined
[4] Universidad de Granada,undefined
[5] E-18071 Granada,undefined
[6] Spain,undefined
[7] e-mail: ptorres@ugr.es,undefined
来源：
Zeitschrift für angewandte Mathematik und Physik ZAMP | 2001年 / 52卷
关键词：
Key words. Periodic solution, particle system, nearest-neighbor interaction, Toda lattice, singular force, a priori bounds, Brouwer degree.;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
It is studied the existence of periodic oscillations of a one-dimensional chain of particles periodically perturbed and with nearest-neighbor interaction between particles. It turns out that the behavior of the system is different if the number of particles is finite or infinite. In both cases, necessary and sufficient conditions for existence of periodic solutions are obtained over the mean values of the external forces by using a priori bounds, topological degree and limiting arguments.
引用
收藏
页码：535 / 540
页数：5
相关论文
共 50 条
12345