Publication Date
2010
Abstract
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 their conclusions are equivalent. Subsequently, we showcase the usefulness of the methods by 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 4 model.
Recommended Citation
Cuevas, J; Koukouloyannis, V; and Kevrekidis, PG, "Multibreather and vortex breather stability in Klein–Gordon lattices: Equivalence between two different approaches" (2010). Mathematics and Statistics Department Faculty Publication Series. 1092.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/1092
Comments
This is the pre-published version harvested from arXiv.