title: Local nature and scaling of chaos in weakly nonlinear disordered chains.
abstract: The dynamics of a disordered nonlinear chain can be either regular or chaotic with a certain probability. The chaotic behavior is often associated with the destruction of Anderson localization by the nonlinearity. In the present work it is argued that at weak nonlinearity chaos is nucleated locally on rare resonant segments of the chain. Based on this picture, the probability of chaos is evaluated analytically. The same probability is also evaluated by direct numerical sampling of disorder realizations and quantitative agreement between the two results is found.
authors.affiliation: Laboratoire de Physique et Modélisation des Milieux Condensés, Unité Mixte de Recherche No. 5493, Centre National de la Recherche Scientifique and Université Joseph Fourier Grenoble 1, 25 rue des Martyrs, 38042 Grenoble, France.
authors.forename: D M
authors.initials: DM
authors.lastname: Basko
mesh_terms: D003198:Computer Simulation; D008962:Models, Theoretical; D017711:Nonlinear Dynamics