Nucleation in bistable dynamical systems with long delay.
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.
CNR-Consiglio Nazionale delle Ricerche, Istituto dei Sistemi Complessi, via Madonna del Piano 10, I-50019 Sesto Fiorentino, Italy.
Giovanni
G
Giacomelli
CNR-Consiglio Nazionale delle Ricerche, Istituto dei Sistemi Complessi, via Madonna del Piano 10, I-50019 Sesto Fiorentino, Italy.
Francesco
F
Marino
Institute of Mathematics, Humboldt-University at Berlin, Rudower Chaussee 25, 12489, Berlin, Germany.
Michael A
MA
Zaks
Institute of Mathematics, Humboldt-University at Berlin, Rudower Chaussee 25, 12489, Berlin, Germany.
Serhiy
S
Yanchuk