Coarsening in a bistable system with long-delayed feedback
1 CNR - Istituto dei Sistemi Complessi - via Madonna del Piano 10, I-50019 Sesto Fiorentino (FI), Italy, EU
2 Humboldt University of Berlin, Institute of Mathematics - Unter den Linden 6, 10099 Berlin, Germany, EU
Received: 6 July 2012
Accepted: 9 August 2012
The correspondence between long-delayed systems and one-dimensional spatially extended media enables a direct interpretation of purely temporal phenomena in terms of spatio-temporal patterns. On the basis of this result, we provide the evidence of a characteristic spatio-temporal dynamics —coarsening— in a long-delayed bistable system. Nucleation, propagation and annihilation of fronts, leading eventually to a single phase, are observed in an experiment based on a laser with opto-electronic feedback. A numerical and analytical study of a general phenomenological model is also performed and compared with the experimental findings.
PACS: 89.75.Fb – Structures and organization in complex systems / 42.65.Sf – Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics / 02.30.Ks – Delay and functional equations
© EPLA, 2012