Periodic motions of forced infinite lattices with nearest neighbor interaction

Authors
Citation
Pj. Torres, Periodic motions of forced infinite lattices with nearest neighbor interaction, Z ANG MATH, 51(3), 2000, pp. 333-345
Citations number
13
Categorie Soggetti
Mathematics
Journal title
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
ISSN journal
00442275 → ACNP
Volume
51
Issue
3
Year of publication
2000
Pages
333 - 345
Database
ISI
SICI code
0044-2275(200005)51:3<333:PMOFIL>2.0.ZU;2-J
Abstract
It is proved the existence of an infinite number of periodic solutions of a infinite lattice of particles with a periodic perturbation and nearest nei ghbor interaction between particles, by using a priori bounds and topologic al degree together with a limiting argument. We consider a Toda lattice and a singular repulsive lattice as main situations. The question of order bet ween particles is also discussed.