International Workshop on Global Dynamics beyond Uniform Hyperbolicity

超越统一双曲性的全球动力学国际研讨会

• 批准号: 0552282
• 负责人: Anne Wilkinson
• 金额: $ 2.21万
• 依托单位: Northwestern University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2006
• 资助国家: 美国
• 起止时间: 2006-01-01 至 2006-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0552282&HistoricalAwards=false
• 关键词: International; Workshop; Global; Dynamics; beyond

AbstractThis proposal describes an international conference on partial hyperpbolicity and related topics to be held in Chicago in May, 2006. The goals of the conference are to disseminate recent breakthroughs in the field and to promote integration of and collaboration among the different approaches to the area that have developed in the past 10 years. This will be the third conference in a series that began with an NSF-supported conference organized by the PIs in May, 2001.The topic of partial hyperbolicity emerged in the early seventies and has become a central direction in which the theory of complicated ("chaotic") dynamical systems has developed. The study of partial hyperbolicity and related systems has extended significantly beyond the classical setting of hyperbolic dynamics, driven by the realization that many practical applications of dynamical systems to experimental phenomena do require a much broader theory. The broader impact and intellectual merits of this proposal are multifold and interrelated: * Because of the conference focus on minicourses, graduate students and recent Ph.D.'s within the US will be exposed to cutting edge research in the area, even before this knowledge has been disseminated by other means. *A portion of the plenary talks in this conference will be devoted to recent applications of the theory of partially hyperbolic systems to mechanical systems, as well as certain systems in biology. *The conference will bring together participants from four continents; the expectation is that the conference will lead to new collaborative ventures between these participants and US participants. *Finally, the conference will increase the worldwide visibility of US researchers in the area of partially hyperbolic and related dynamical systems.

摘要本提案描述了将于 2006 年 5 月在芝加哥举行的关于部分双曲性及相关主题的国际会议。会议的目标是传播该领域的最新突破，并促进该领域不同方法之间的整合和协作。在过去的10年里得到了发展。这将是一系列会议中的第三次会议，该系列会议始于 2001 年 5 月由 PI 组织的 NSF 支持的会议。部分双曲性主题出现于七十年代初期，并已成为复杂理论（“混沌”）动力系统已经发展起来。 由于认识到动力系统在实验现象中的许多实际应用确实需要更广泛的理论，因此对部分双曲性和相关系统的研究已经远远超出了双曲动力学的经典设置。 该提案的更广泛影响和知识价值是多方面且相互关联的： * 由于会议重点关注迷你课程，美国境内的研究生和近期博士生将接触到该领域的前沿研究，甚至在此之前知识已通过其他方式传播。 *本次会议全体会议的一部分将致力于部分双曲系统理论在机械系统以及生物学中某些系统的最新应用。 *会议将汇集来自四大洲的与会者；预计这次会议将导致这些参与者与美国参与者之间建立新的合作关系。 *最后，该会议将提高美国研究人员在部分双曲及相关动力系统领域的全球知名度。