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: 1024682
• 负责人: Yehuda Braiman
• 金额: $ 10万
• 依托单位: University of Tennessee Knoxville
• 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 2013-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1024682&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互连动力学系统的复杂网络进行严格的数学分析，并将开发的方法应用于控制和集体同步耦合半导体激光器的阵列。主要思想是基于网络拓扑的动力学，而不是传统的静态描述，该描述可以说明形成动态网络的所有三种主要成分的累积作用的分析和评估：1。网络元素的局部动态，2。网络元素之间的交互，网络元素之间的交互，3。网络的拓扑。 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在半导体激光器（例如空间，纤维和水下通信，焊接，切割等）的应用中产生重大的技术影响。该项目通过本科和研究生教育和研究培训，短期课程和讲习班发展以及向K-12教育进行宣传，将研究项目与教育活动相结合。 该团队还计划招募女工程专业的学生，​​并将其保留在科学和工程领域的职业中。