Network of chaotic units: Sychronization with time-delayed coupling

一个由混沌单元组成的网络可以同步：所有的单元都松弛到一个共同的混沌轨道。这种违反直觉的现象最近讨论的背景下，电子电路和激光器的阵列的合作行为，但它也有影响神经生物学和安全communication.In这个建议，网络与时间延迟传输的混沌单元之间的耦合信号进行了研究。分析和数值计算应给出的条件下，完全同步无时移是可能的，虽然耦合有很长的时间延迟。特别是不同时间尺度之间的竞争将被研究。本项目的第二部分将集中在混沌半导体激光器可能的安全通信的条件。应开发和研究一系列混沌元件能够同步而记录传输的第三个单元不能同步的机制，该项目将继续与巴伊兰大学研究混沌半导体激光器的实验小组密切合作。

A network of chaotic units can synchronize: All units relax to a common chaotic trajectory. This counterintuitive phenomenon is recently discussed in the context of cooperative behavior of arrays of electronic circuits and lasers, but it also has implications on neurobiology and secure communication.In this proposal, networks with time-delayed transmission of coupling signals between the chaotic units are investigated. Analytical and numerical calculations should give the conditions under which complete synchronization without time-shift is possible, although the couplings have long time delay. In particular the competition between different time scales will be studied.The second part of this project will concentrate on the conditions on possible secure communication with chaotic semiconductor lasers. Mechanisms should be developed and investigated by which an array of chaotic elements can synchronize while a third unit, recording the transmission, is not able to synchronize.This project will continue the close collaboration with an experimental group of the Bar Illan University working on chaotic semiconductor lasers.