Landsman Alexandra S, Schwartz Ira B
Nonlinear Systems Dynamics Section, Plasma Physics Division, US Naval Research Laboratory, Code 6792, Washington, DC 20375, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Feb;75(2 Pt 2):026201. doi: 10.1103/PhysRevE.75.026201. Epub 2007 Feb 2.
Complete chaotic synchronization of end lasers has been observed in a line of mutually coupled, time-delayed system of three lasers, with no direct communication between the end lasers. The present paper uses ideas from generalized synchronization to explain the complete synchronization in the presence of long coupling delays, applied to a model of mutually coupled semiconductor lasers in a line. These ideas significantly simplify the analysis by casting the stability in terms of the local dynamics of each laser. The variational equations near the synchronization manifold are analyzed, and used to derive the synchronization condition that is a function of parameters. The results explain and predict the dependence of synchronization on various parameters, such as time delays, strength of coupling and dissipation. The ideas can be applied to understand complete synchronization in other chaotic systems with coupling delays and no direct communication between synchronized subsystems.
在由三个激光器组成的相互耦合、具有时间延迟的系统中，已观察到末端激光器实现了完全混沌同步，且末端激光器之间没有直接通信。本文运用广义同步的思想来解释在存在长耦合延迟情况下的完全同步现象，并将其应用于一排相互耦合的半导体激光器模型。这些思想通过根据每个激光器的局部动力学来分析稳定性，极大地简化了分析过程。分析了同步流形附近的变分方程，并用于推导作为参数函数的同步条件。结果解释并预测了同步对各种参数的依赖性，如时间延迟、耦合强度和耗散。这些思想可用于理解其他具有耦合延迟且同步子系统之间无直接通信的混沌系统中的完全同步现象。
