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

Authors
Torres, PJ
Citation
Pj. Torres, Necessary and sufficient conditions for existence of periodic motions of forced systems of particles, Z ANG MATH, 52(3), 2001, pp. 535-540
Citations number
3
Categorie Soggetti
Mathematics
Journal title
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
ISSN journal
00442275 → ACNP
Volume
52
Issue
3
Year of publication
2001
Pages
535 - 540
Database
ISI
SICI code
0044-2275(200105)52:3<535:NASCFE>2.0.ZU;2-4
Abstract
It is studied the existence of periodic oscillations of a one-dimensional c hain of particles periodically perturbed and with nearest-neighbor interact ion between particles, It turns out that the behavior of the system is diff erent if the number of particles is finite or infinite. In both cases, nece ssary and sufficient conditions for existence of periodic solutions are obt ained over the mean values of the external forces by using a priori bounds, topological degree and limiting arguments.