Periodic travelling waves in chain of nonlinear oscillators linearly coupled

Authors
Iooss, G Kirchgassner, K
Citation
G. Iooss et K. Kirchgassner, Periodic travelling waves in chain of nonlinear oscillators linearly coupled, CR AC S I, 327(9), 1998, pp. 855-860
Citations number
6
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
327
Issue
9
Year of publication
1998
Pages
855 - 860
Database
ISI
SICI code
0764-4442(199811)327:9<855:PTWICO>2.0.ZU;2-X
Abstract
We consider travelling waves in a chain of nonlinear oscillators, linearly coupled to their nearest neighbors. We show that the "small" solutions are ruled by a reversible O.D.E. anti, Sor a not too large coupling, we show th at the "small" solutions constitute a one parameter family of periodic solu tions, bifurcating from 0. (C) Academie des Sciences/Elsevier, Paris.