Giacomelli Giovanni, Marino Francesco, Zaks Michael A, Yanchuk Serhiy
CNR-Consiglio Nazionale delle Ricerche, Istituto dei Sistemi Complessi, via Madonna del Piano 10, I-50019 Sesto Fiorentino, Italy.
Institute of Mathematics, Humboldt-University at Berlin, Rudower Chaussee 25, 12489, Berlin, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Dec;88(6):062920. doi: 10.1103/PhysRevE.88.062920. Epub 2013 Dec 23.
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.
在一个具有延迟反馈的非对称双稳动力系统中，其中一个稳定状态通常比另一个“更强”：系统不仅从接近的初始条件弛豫到该状态，而且还从包含在两个吸引子附近停留时期的振荡初始构型弛豫到该状态。然而，如果较强相位的初始核心短于某个临界值，它就会收缩，取而代之的是建立较弱状态。我们在一个典型模型和基于双稳半导体激光器的实验中观察到这种效应，并根据支配其渐近性质的标度律对其进行表征。
