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Breather continuation from infinity in nonlinear oscillator chains
2012
Discrete and Continuous Dynamical Systems. Series A
Existence of large-amplitude time-periodic breathers localized near a single site is proved for the discrete Klein-Gordon equation, in the case when the derivative of the on-site potential has a compact support. Breathers are obtained at small coupling between oscillators and under nonresonance conditions. Our method is different from the classical anti-continuum limit developed by MacKay and Aubry, and yields in general branches of breather solutions that cannot be captured with this approach.
doi:10.3934/dcds.2012.32.1775
fatcat:57psrjtpufhhnnkdxvga25zh5y