U.S.-Hungary Joint Fund Mathematics Research on Chaotic Transients

美匈联合基金混沌瞬变数学研究

• 批准号: 9307806
• 负责人: Peter Szepfalusy
• 金额: --
• 依托单位: Eotvos Lorand University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-06-01 至 1996-06-01
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9307806&HistoricalAwards=false
• 关键词: U.S.; Hungary; Joint; Fund; Mathematics

This US-Hungary Joint Fund research project on chaotic transients will be conducted by Dr. Peter Szepfalusy, Institute of Solid State Physics, Eotvos University, Budapest and Dr. Celso Grebogi, University of Maryland. Chaotic, unpredictable motion can be permanent or transient. In the latter case chaos can be observed on finite time scales only. The main objective of this research project is to improve understanding of transient chaos in both dissipative and Hamiltonian systems. The importance of investigating such chaotic transients lies in the fact that by analyzing the dynamics on finite time-scales, essential features like sensitive dependence on initial conditions and limited predictability of the process can be observed. The characterization of these transients is considered fundamental for the understanding of the dynamics. Results may lead to advances in applications in areas involving laser systems and nuclear or chemical reactions. This theoretical research in mathematics fulfills the US-Hungary Joint Fund program objective of advancing science by enabling leading experts in the United States and Hungary to combine complementary talents and pool research resources in areas of strong mutual interest and competence. Funds for the project are provided through the US-Hungary Joint Fund, Budapest, in accordance with established guidelines.

这项关于混沌瞬态的美国-匈牙利联合基金研究项目将由布达佩斯Eotvos大学固态物理研究所的Peter Szepfalusy博士和马里兰大学的Celso Grebogi博士进行。混沌的、不可预测的运动可以是永久的，也可以是短暂的。在后一种情况下，混沌只能在有限的时间尺度上观察到。本研究项目的主要目的是提高对耗散和哈密顿系统中的瞬态混沌的理解。研究这种混沌瞬态的重要性在于，通过分析有限时间尺度上的动力学，可以观察到对初始条件的敏感依赖和过程的有限可预测性等基本特征。这些瞬态的表征被认为是理解动力学的基础。结果可能导致在涉及激光系统和核反应或化学反应领域的应用进展。这项数学理论研究实现了美国-匈牙利联合基金项目的目标，即通过使美国和匈牙利的顶尖专家在共同感兴趣和能力强的领域结合互补的人才和集中的研究资源，促进科学发展。该项目的资金是根据既定准则通过设在布达佩斯的美国-匈牙利联合基金提供的。