Anna Maria Morgante et al 2002 J. Phys. A: Math. Gen. 35 4999 doi:10.1088/0305-4470/35/24/303
Anna Maria Morgante1, Magnus Johansson2, Serge Aubry1 and Georgios Kopidakis3
Show affiliationsWe investigate the resonance mechanisms for discrete breathers in finite-size Klein–Gordon lattices, when some harmonic of the breather frequency enters the linear phonon band. For soft on-site potentials, the second-harmonic resonances typically result in the appearance of solutions with non-zero tails, phonobreathers. However, these tails may be very weak, and for small systems where the phonon frequencies are sparsely distributed, we identify 'phantom breathers' as being practically localized solutions, existing with frequencies in-between the phonon frequencies. For particular parameter values the tails completely vanish, and the phantom breathers decay exponentially over the whole system. We also describe briefly a first-harmonic resonance with a constant-amplitude wave and the generation of phonobreathers for hard potentials.
Issue 24 (21 June 2002)
Received 28 February 2002, in final form 26 April 2002
Published 7 June 2002
Anna Maria Morgante et al 2002 J. Phys. A: Math. Gen. 35 4999
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