Coarsening in a bistable system with long-delayed feedback

Year: 2012

Authors: Giacomelli G., Marino F., Zaks M. A., Yanchuk S.

Autors Affiliation: CNR – Istituto dei Sistemi Complessi, Via Madonna del Piano 10, I-50019 Sesto Fiorentino (FI), Italy; Humboldt University of Berlin, Institute of Mathematics – Unter den Linden 6, 10099 Berlin, Germany

Abstract: 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.

Journal/Review: EPL

Volume: 99 (5)      Pages from: 58005  to: 58005

More Information: The authors thank S. LEPRI for discussions, S. IUBINI for help in measurements, D. MATERASSI for setting the delay software and M. KANTNER for computational assistance. We acknowledge DFG for financial support in the framework of the Collaborative Research Center SFB910 (GG and SY) and Research Center Matheon (MZ).
DOI: 10.1209/0295-5075/99/58005

Citations: 42
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