Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators

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Published under licence by IOP Publishing Ltd
, , Citation R S MacKay and S Aubry 1994 Nonlinearity 7 1623 DOI 10.1088/0951-7715/7/6/006

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1 Math. Inst., Warwick Univ., Coventry, UK

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0951-7715/7/6/1623

Abstract

Existence of 'breathers', that is, time-periodic, spatially localized solutions, is proved for a broad range of time-reversible or Hamiltonian networks of weakly coupled oscillators. Some of their properties are discussed, some generalizations suggested, and several open questions raised.

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