Transmission thresholds in time-periodically driven nonlinear disordered systems
2009 (English)Conference paper (Other academic)
(Joint work with G. Kopidakis, S. Lepri, and S. Aubry) 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.
Place, publisher, year, edition, pages
IdentifiersURN: urn:nbn:se:liu:diva-52734OAI: oai:DiVA.org:liu-52734DiVA: diva2:285405
Anderson Localization in Nonlinear and Many-Body Systems International Workshop - March 16 - 20, 2009, Max Planck Institute for the Physics of Complex Systems, Dresden