Quasi periodic breathers in Hamiltonian lattices with symmetries

Dario Bambusi; D. Vella

doi:10.3934/dcdsb.2002.2.389

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2002, Volume 2, Issue 3: 389-399. Doi: 10.3934/dcdsb.2002.2.389

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Quasi periodic breathers in Hamiltonian lattices with symmetries

Dario Bambusi^1, and
D. Vella²

1.
Dipartimento di Matematica “F. Enriques”, Universita di Milano, Via Saldini 50, 20133 Milano
2.
Dipartimento di Matematica, Via Saldini 50, 20 133, Milano

Received: November 2001

Published: August 2002

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Abstract

We prove existence of quasiperiodic breathers in Hamiltonian lattices of weakly coupled oscillators having some integrals of motion independent of the Hamiltonian. The proof is obtained by constructing quasiperiodic breathers in the anticontinuoum limit and using a recent theorem by N.N. Nekhoroshev [8] as extended in [5] to continue them to the coupled case. Applications to several models are given.

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Mathematics Subject Classification: 37C45.

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