J F R Archilla et al 2001 J. Phys. A: Math. Gen. 34 6363 doi:10.1088/0305-4470/34/33/301
J F R Archilla1, P L Christiansen2, S F Mingaleev3 and Yu B Gaididei3
Show affiliationsMost of the studies of breathers in networks of oscillators are limited to next-neighbour interaction. However, long-range interaction becomes critical when the geometry of the chain is taken into account, as the distance between oscillators and, therefore, the coupling, depends on the shape of the system. In this paper we analyse the existence and stability of breathers, i.e. localized oscillations in a simple model for a bent chain of oscillators with long-range interaction.
05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
Issue 33 (24 August 2001)
Received 6 March 2001, in final form 12 June 2001
Published 10 August 2001
J F R Archilla et al 2001 J. Phys. A: Math. Gen. 34 6363
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