Artículo
Multibreather and vortex breather stability in Klein–Gordon lattices: equivalence between two different approaches
Autor/es | Cuevas-Maraver, Jesús
Koukouloyannis, Vassilis Kevrekidis, Panayotis G. Archilla, Juan F. R. |
Departamento | Universidad de Sevilla. Departamento de Física Aplicada I |
Fecha de publicación | 2011 |
Fecha de depósito | 2015-05-14 |
Publicado en |
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Resumen | In this work, we revisit the question of stability of multibreather configurations, i.e. discrete breathers with multiple excited sites at the anti-continuum limit of uncoupled oscillators. We present two methods that yield ... In this work, we revisit the question of stability of multibreather configurations, i.e. discrete breathers with multiple excited sites at the anti-continuum limit of uncoupled oscillators. We present two methods that yield quantitative predictions about the Floquet multipliers of the linear stability analysis around such exponentially localized in space, time-periodic orbits, based on the Aubry band method and the MacKay effective Hamiltonian method, and prove that by making the suitable assumptions about the form of the bands in the Aubry band theory, their conclusions are equivalent. Subsequently, we showcase the usefulness of the methods through a series of case examples including one-dimensional multi-breathers, and two-dimensional vortex breathers in the case of a lattice of linearly coupled oscillators with the Morse potential and in that of the discrete φ4 model. © 2011 World Scientific Publishing Company. |
Agencias financiadoras | Ministerio de Ciencia e Innovación (MICIN). España |
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