Collective Dynamics in Complex Networks of Dynamical Systems

动力系统复杂网络中的集体动力学

• 批准号: 0709212
• 负责人: Adilson Motter
• 金额: $ 32万
• 依托单位: Northwestern University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2007
• 资助国家: 美国
• 起止时间: 2007-08-01 至 2011-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0709212&HistoricalAwards=false
• 关键词: Collective; Dynamics; Complex; Networks; Dynamical

This project focuses on modeling synchronization and coherent behavior in realistic networks with complex structure. As an emerging field, the study of synchronization in complex networks has so far not seen sufficiently strong connections between theory and the actual behavior of real systems. The first objective of the proposed research is the empirical analysis of collective dynamics in complex systems in the technological, social, and biological domains. This will be achieved by developing methods for data analysis of the dynamics of three types of systems: power grids, human communities, and biochemical reaction systems. The second objective is to extend the current theoretical framework for analyzing the synchronized and coherent dynamics in such systems. The final objective is to combine the empirical observations and the theoretical development in the modeling of these complex systems as networks of simple dynamical units. This approach will be used to investigate how the collective dynamics is influenced by the underlying network structure and the properties of the individual dynamical units. The study of synchronization in power grids is important to assess and reduce the influence of voltage phenomena in triggering large blackouts. The study of coherent dynamics in human communities is relevant to help build more efficient strategies for the allocation of services and resources and for the assessment and management of risks. The study of synchronization in biochemical reaction systems is important to advance our understanding of large biochemical networks in living organisms. The planned research activities are interdisciplinary and will involve the training of undergraduate students, including students from under-represented minorities, and one graduate student. Outreach activities are also planned in the form of individual research advising and public lectures at a local high school, allowing our research results to be presented to a large and diverse public.

本项目主要研究具有复杂结构的现实网络中同步和相干行为的建模。作为一个新兴领域，复杂网络同步的研究迄今为止还没有看到理论与实际系统的实际行为之间有足够强的联系。本研究的第一个目标是对技术、社会和生物领域的复杂系统中的集体动力学进行实证分析。这将通过开发三种类型系统的动态数据分析方法来实现：电网、人类社区和生化反应系统。第二个目标是扩展当前的理论框架来分析这类系统中的同步和相干动力学。最后的目标是将这些复杂系统作为简单动力单元网络的建模的经验观察和理论发展结合起来。这种方法将用于研究集体动力学如何受到底层网络结构和单个动力单元的特性的影响。电网同步的研究对于评估和降低引发大停电的电压现象的影响具有重要意义。研究人类社区的连贯动态，有助于为服务和资源的分配以及风险的评估和管理制定更有效的战略。研究生物化学反应系统的同步性对提高我们对生物体内大型生物化学网络的认识具有重要意义。计划的研究活动是跨学科的，将涉及培训本科生，包括来自代表性不足的少数民族的学生和一名研究生。推广活动也计划以个人研究建议和公开讲座的形式在当地一所高中，使我们的研究成果呈现给广大和多样化的公众。