2008/12/31 by Magnus Johansson, M. Johansson, G. Kopidakis +5
Computer Science · Physics and Astronomy · #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Quantum chaos and dynamical systems #cond-mat.dis-nn #nlin.CD #nlin.PS #physics.optics
paper · pdf · doi:10.1209/0295-5075/86/10009
published as EPL, 86 (2009) 10009 · 6 pages, 6 figures, to be published in EPL. Revised version: minor clarifications and updates of references
openalex publication_date 2009/04/01 · arxiv created 2009/04/16 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04
We study energy propagation in locally time-periodically driven disordered nonlinear chains. For frequencies inside the band of linear Anderson modes, three different regimes are observed with increasing driver amplitude: 1) below threshold, localized quasiperiodic oscillations and no spreading; 2) three different regimes in time close to threshold, with almost regular oscillations initially, weak chaos and slow spreading for intermediate times and finally strong diffusion; 3) immediate spreading for strong driving. The thresholds are due to simple bifurcations, obtained analytically for a single oscillator, and numerically as turning points of the nonlinear response manifold for a full chain. Generically, the threshold is nonzero also for infinite chains.