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.

Abstractthis提案描述了一项关于2006年5月在芝加哥举行的部分疏忽和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，并在过去10年中开发的不同方法中促进了对不同方法的整合和协作。这将是系列赛的第三次会议，该会议始于PIS于2001年5月举办的NSF支持的会议。七十年代初期出现了部分双曲线的话题，并已成为复杂（“混乱”）动态系统理论的核心方向。 对部分双曲线和相关系统的研究已经显着扩展了双曲线动力学的经典环境，这是由于意识到动态系统在实验现象上的许多实际应用确实需要更广泛的理论。 该提议的更广泛的影响和知识优势是多重和相互关联的： *由于会议的重点是微型训练，研究生和最近的美国博士学位也将暴露于该领域的尖端研究，甚至在这些知识被其他手段传播之前。 *本次会议中全体会议的一部分将致力于将部分双曲系统理论与机械系统以及生物学的某些系统的最新应用。 *会议将使四大洲的参与者聚集在一起；期望会议将导致这些参与者与美国参与者之间的新合作企业。 *最后，会议将提高美国研究人员在部分双曲线和相关动力学系统领域的全球知名度。