Comptes Rendus
no. 12
Dynamical Systems
Maslov index for solitary waves obtained as a limit of the Maslov index for periodic waves
[Un indice de Maslov pour les ondes solitaires obtenu comme limite de l'indice de Maslov pour les ondes périodiques]

Présenté par : Gérard Iooss

Frédéric Chardard1
1 CMLA, ENS Cachan, CNRS, UniverSud, 61 Avenue President Wilson, F-94230 Cachan, France
Comptes Rendus. Mathématique, Volume 345 (2007) no. 12, pp. 689-694.

On peut définir l'indice de Maslov pour une onde solitaire en approchant l'onde solitaire par des ondes périodiques : lorsqu'une suite d'ondes périodiques ϕα converge vers l'onde solitaire ϕ, alors sa limite peut-être utilisée comme définition de l'indice de Maslov de ϕ.

A Maslov index for a solitary wave can be defined by approximating the solitary wave with periodic waves: when a sequence of periodic waves ϕα converges to the solitary wave ϕ, then the sequence of Maslov indices converges and its limit can be used as a definition for the Maslov index of ϕ.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2007.11.003
Frédéric Chardard 1

1 CMLA, ENS Cachan, CNRS, UniverSud, 61 Avenue President Wilson, F-94230 Cachan, France 
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Frédéric Chardard. Maslov index for solitary waves obtained as a limit of the Maslov index for periodic waves. Comptes Rendus. Mathématique, Volume 345 (2007) no. 12, pp. 689-694. doi : 10.1016/j.crma.2007.11.003. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2007.11.003/

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[4] F. Chardard, F. Dias, T.J. Bridges, Computing the Maslov index of solitary waves, in preparation

[5] F. Chardard; F. Dias; T.J. Bridges Fast computation of the Maslov Index for hyperbolic linear systems with periodic coefficients, J. Phys. A: Math. Gen., Volume 39 (2006) no. 47, pp. 14545-14557

[6] M. Chugunova; D. Pelinovsky Count of eigenvalues in the generalized eigenvalue problem, 2006 (preprint, arXiv: pp. 1–30) | arXiv

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