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Existence of breathers on FPU lattices
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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 | ||||
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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 | ||||
Official Date: | 15 March 2001 | ||||
Dates: |
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Volume: | 332 | ||||
Number: | 6 | ||||
Number of Pages: | 6 | ||||
Page Range: | pp. 581-586 | ||||
Publication Status: | Published |
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