Transmission thresholds in time-periodically driven nonlinear disordered systems

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dc.creatorJohansson, Magnus
dc.creatorKopidakis, Georgios
dc.creatorLepri, Stefano
dc.creatorAubry, Serge
dc.date2008-12-18
dc.date2009-04-16
dc.date.accessioned2026-07-07T13:13:23Z
dc.date.available2026-07-07T13:13:23Z
dc.descriptionWe 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.
dc.description6 pages, 6 figures, to be published in EPL. Revised version: minor clarifications and updates of references
dc.identifierhttps://arxiv.org/abs/0812.3620
dc.identifierhttp://arxiv.org/abs/0812.3620
dc.identifierEPL, 86 (2009) 10009
dc.identifierdoi:10.1209/0295-5075/86/10009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229873
dc.subjectPattern Formation and Solitons
dc.subjectDisordered Systems and Neural Networks
dc.subjectChaotic Dynamics
dc.subjectOptics
dc.titleTransmission thresholds in time-periodically driven nonlinear disordered systems
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