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

美国-匈牙利联合基金研究项目 混沌瞬变将由彼得博士 Szepfalusy，固态物理研究所， Eotvos大学，布达佩斯和Celso博士 Grebogi，马里兰州大学。 混乱、不可预测的运动可能是永久的， 短暂的 在后一种情况下， 只能在有限的时间尺度上观察。 主要 该研究项目的目的是提高 理解两者中的瞬态混沌 耗散和Hamilton系统。 的 调查这种混乱的重要性 瞬变现象在于，通过分析 有限时间尺度上的基本动力学 敏感依赖于初始 的条件和有限的可预测性， 过程可以观察到。 的表征 这些瞬变被认为是基本的， 对动态的理解。 结果可能 导致在应用领域的进步 涉及激光系统和核或化学 反应. 这一数学理论研究满足了 美国-匈牙利联合基金项目目标是 推动科学发展， 美国和匈牙利将联合收割机 人才互补、科研资源共享 在共同感兴趣的领域， 能力。 该项目的资金已提供 通过位于布达佩斯的美国-匈牙利联合基金， 按照既定的指导方针。

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.