Transmission thresholds in time-periodically driven nonlinear disordered systems
2009 (English)In: EPL, ISSN 0295-5075 , Vol. 86, no 1, 10009- p.Article in journal (Refereed) Published
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
2009. Vol. 86, no 1, 10009- p.
IdentifiersURN: urn:nbn:se:liu:diva-18948DOI: 10.1209/0295-5075/86/10009OAI: oai:DiVA.org:liu-18948DiVA: diva2:222136