MacKay, R. S.; Aubry, S. Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators. (English) Zbl 0811.70017 Nonlinearity 7, No. 6, 1623-1643 (1994). Summary: 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. Cited in 2 ReviewsCited in 198 Documents MSC: 70K99 Nonlinear dynamics in mechanics 34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations 34C25 Periodic solutions to ordinary differential equations PDFBibTeX XMLCite \textit{R. S. MacKay} and \textit{S. Aubry}, Nonlinearity 7, No. 6, 1623--1643 (1994; Zbl 0811.70017) Full Text: DOI