UNSPECIFIED (2001) Existence of breathers on FPU lattices. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 332 (6). pp. 581-586. ISSN 0764-4442

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Abstract

We study time-periodic solutions of the Fermi-Pasta-Ulam (FPU) model, which describes a chain of nonlinearly coupled particles. In the neighbourhood of the larger critical frequency omega (0), we show that all small amplitude solutions are given by a two-dimensional reversible mapping. Then we prove under general conditions on the interaction potential the existence of spatially localized 'breathers' with frequencies slightly above omega (0). (C) 2001 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
Publisher:	EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
ISSN:	0764-4442
Date:	15 March 2001
Volume:	332
Number:	6
Number of Pages:	6
Page Range:	pp. 581-586
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/12151

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