Authors: J Cuevas, JFR Archilla, F Palmero, FR Romero and MC Muriel
(pdf poster
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Localized oscillations appear in ordered nonlinear lattices (breathers) and disordered linear lattices (Anderson modes). Numerical studies on one- and two-dimensional Klein-Gordon lattices show that there exist two different types of bifurcations in the path from nonlinearity--order to linearity--disorder: inverse pitchforks (with or without period doubling) and saddle-nodes. The appearance of a saddle-node bifurcation indicates that nonlinearity and disorder interfere destructively and localized oscillations do not exist. The appearance of a pitchfork bifurcation indicates that localized oscillations persist, and there exist some routes that connect discrete breathers and Anderson modes.
Needs 2002. Nonlinear Evolution Equations and Dynamical Systems. Cádiz, Spain, 9-16 June, 2002. Poster.