BECS: Collaborative Research: Dynamical Networks and Collective Synchronization of Coupled Lasers

BECS：协作研究：动态网络和耦合激光器的集体同步

• 批准号: 1024868
• 负责人: Leonid Bunimovich
• 金额: $ 10万
• 依托单位: Georgia Tech Research Corporation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2010
• 资助国家: 美国
• 起止时间: 2010-09-15 至 2012-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1024868&HistoricalAwards=false
• 关键词: BECS; Collaborative; Research; Dynamical; Networks

The research objective of this award is to conduct rigorous mathematical analysis of complex networks of interconnected dynamical systems, and apply the developed methods to control and collectively synchronize arrays of coupled semiconductor lasers. The main idea is based on the dynamical, rather than traditional static, description of the topology of a network, which allows to account for an analysis and evaluation of cumulative action of all three major ingredients that form a dynamical network: 1. local dynamics of elements of the network, 2. interactions between the elements of a network, 3. topology of the network. The project seeks an integration of the mathematical foundations with real world applications, and the developed mathematical machinery will be used to find synchronization conditions and to choose control parameters for synchronization of arrays of coupled semiconductor lasers.The project will advance the fields of complex dynamical networks, nonlinear dynamics, and coupled semiconductor lasers, and provide theoretical guidance for laser experiments that may lead to significant technological impact in applications of semiconductor lasers such as space, fiber, and underwater communication, welding, cutting and others. The project integrates research projects with education activities through undergraduate and graduate education and research training, short course and workshop development, and outreach to K-12 education. The team also plans to recruit women engineering students and to retain them into careers in science and engineering.

该奖项的研究目标是对相互连接的动态系统的复杂网络进行严格的数学分析，并应用开发的方法来控制和集体同步耦合半导体激光器阵列。主要思想是基于动态的，而不是传统的静态的，对网络拓扑结构的描述，它允许对形成动态网络的所有三种主要成分的累积作用进行分析和评估。网络元素的局部动态，2。2 .网络要素之间的相互作用；网络拓扑。该项目寻求将数学基础与现实世界应用相结合，开发的数学机制将用于寻找同步条件并选择耦合半导体激光器阵列同步的控制参数。该项目将推动半导体激光器复杂动态网络、非线性动力学和耦合等领域的发展，为激光实验提供理论指导，对半导体激光器在空间、光纤、水下通信、焊接、切割等领域的应用产生重大技术影响。该项目将研究项目与教育活动结合起来，通过本科和研究生教育和研究培训、短期课程和讲习班开发，以及扩展到K-12教育。该团队还计划招募女性工程专业学生，并将她们留在科学和工程领域。