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.

本文介绍了将于2006年5月在芝加哥召开的关于部分双曲性及相关主题的国际会议。会议的目标是传播这一领域最近的突破，并促进过去10年来在这一领域发展起来的不同做法之间的整合与合作。这将是一系列会议中的第三次会议，开始于2001年5月由美国国家科学基金会支持的会议。部分双曲性的主题出现在70年代初，并已成为复杂（“混沌”）动力系统理论发展的一个中心方向。 部分双曲性和相关系统的研究已经大大超出了双曲动力学的经典设置，这是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。 这个建议的更广泛的影响和知识价值是多方面的和相互关联的：* 由于会议重点是微型课程，研究生和最近的博士学位。在美国，即使在这些知识通过其他方式传播之前，美国的研究人员也将接触到该领域的前沿研究。 * 在这次会议的全体会议的一部分会谈将致力于最近的应用理论的部分双曲系统的机械系统，以及某些系统在生物学。 * 会议将汇集来自四大洲的与会者;预计会议将导致这些与会者和美国与会者之间的新的合作企业。 * 最后，会议将提高美国研究人员在部分双曲和相关动力系统领域的全球知名度。