Workshop on Bifurcation Theory and Spatio-Temporal Pattern Formation; Decembe 11-13, 2003; Toronto, Canada

分岔理论与时空格局形成研讨会；

• 批准号: 0344525
• 负责人: N. Sri Namachchivaya
• 金额: $ 1万
• 依托单位: University of Illinois at Urbana-Champaign
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2003
• 资助国家: 美国
• 起止时间: 2003-09-01 至 2005-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0344525&HistoricalAwards=false
• 关键词: Workshop; Bifurcation; Theory; Spatio; Temporal

Nonlinear phenomena and the formation of spatio-temporal patterns play an increasingly important role in current research on partial differential equations and are at the center of many engineering disciplines. Their analysis have made tremendous progress over the last decade with the development of new tools in nonlinear dynamics. In turn, problems in nonlinear mechanics have stimulated important research in dynamical systems theory. Practical applications of fundamental results in these areas are beginning to appear across the entire spectrum of science. Research in this area is characterized by international and interdisciplinary cooperation.The field of bifurcation theory and pattern formation is very active area of both pure and applied research, throughout the world today. The aim of this International Workshop is to provide a forum for the discussion of developments in Non-linear Dynamics and Bifurcation Theory. We will make special efforts to promote communications between the two communities dealing with nonlinear phenomena, from theoretical and applied points of view, by promoting themes of common interest in emerging areas of Spatio-Temporal Pattern Formation. The Workshop will review both fundamental theory and its applications in mechanical systems, fluid-structure interactions, and other areas of mechanics, science and technology.This Workshop intended for present and future researchers in the area of bifurcation theory and pattern formation. An important by-product of this activity will be the education of a new generation of truly multidisciplinary graduate students in nonlinear dynamics and related fields. We anticipate significant numbers of participants from Canada and the US. It will provide an opportunity for graduate students for the framework and for direction in their research plans, and to establish new research links.

非线性现象和时空格局的形成在当前偏微分方程研究中发挥着越来越重要的作用，也是许多工程学科的研究中心。随着非线性动力学新工具的发展，他们的分析在过去十年中取得了巨大的进步。非线性力学中的问题反过来又刺激了动力系统理论的重要研究。这些领域的基本成果的实际应用开始出现在整个科学领域。该领域的研究以国际和跨学科合作为特点。分岔理论和模式形成是当今世界上理论和应用研究非常活跃的领域。本次国际研讨会的目的是为讨论非线性动力学和分岔理论的发展提供一个论坛。我们将特别努力促进两个研究非线性现象的团体之间的交流，从理论和应用的角度，促进共同感兴趣的主题在时空格局形成的新兴领域。研讨会将回顾基本理论及其在机械系统、流固相互作用和其他力学、科学和技术领域的应用。本次研讨会的目的是为现在和未来在分岔理论和模式形成领域的研究人员。这项活动的一个重要副产品将是在非线性动力学和相关领域培养新一代真正的多学科研究生。我们预计将有大量来自加拿大和美国的与会者。它将为研究生提供一个机会，为他们的研究计划提供框架和方向，并建立新的研究联系。