Nucleation in bistable dynamical systems with long delay

Giovanni Giacomelli, Francesco Marino, Michael A. Zaks, and Serhiy Yanchuk
Phys. Rev. E 88, 062920 – Published 23 December 2013

Abstract

In an asymmetric bistable dynamical system with delayed feedback, one of the stable states is usually “stronger” than the other one: The system relaxes to it not only from close initial conditions, but also from oscillatory initial configurations which contain epochs of stay near both attractors. However, if the initial nucleus of the stronger phase is shorter than a certain critical value, it shrinks, and the weaker state is established instead. We observe this effect in a paradigmatic model and in an experiment based on a bistable semiconductor laser and characterize it in terms of scaling laws governing its asymptotic properties.

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  • Received 16 September 2013

DOI:https://doi.org/10.1103/PhysRevE.88.062920

©2013 American Physical Society

Authors & Affiliations

Giovanni Giacomelli* and Francesco Marino

  • CNR-Consiglio Nazionale delle Ricerche, Istituto dei Sistemi Complessi, via Madonna del Piano 10, I-50019 Sesto Fiorentino, Italy

Michael A. Zaks and Serhiy Yanchuk§

  • Institute of Mathematics, Humboldt-University at Berlin, Rudower Chaussee 25, 12489, Berlin, Germany

  • *giovanni.giacomelli@isc.cnr.it
  • francesco.marino@fi.isc.cnr.it
  • zaks@math.hu-berlin.de
  • §yanchuk@math.hu-berlin.de

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Issue

Vol. 88, Iss. 6 — December 2013

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