U.S.-Chile Planning Visit: Some Aspects of the Qualitative Theory of Functional Differential Equations

9910809Ivanov此美洲计划奖将支持A. F.伊万诺夫，宾夕法尼亚州州立大学，前往智利，计划一个研究项目，旨在研究，定性和数值，全球动态的解决方案的延迟微分方程和系统的这种方程，包括问题的存在性，稳定性，依赖于参数和分叉的周期性解决方案，混沌行为和全球稳定的平衡。 合作者将是智利大学的Manuel平托博士和Sergei Trofimchuk。 该项目有可能解决几个重要的理论问题，从而进一步发展该领域的定性理论，并能够将理论问题的发展与实际应用中的问题联系起来。为了实现该项目的目标，研究人员将使用各种技术和方法，从现代动力系统理论，非线性分析， 常微分方程和延迟微分方程，计算数学和扰动方法。

9910809IvanovThis Americas Program award will support Dr. A. F. Ivanov, Pennsylvania State University, to travel to Chile, to plan a research project aimed at the study, both qualitative and numerical, of the global dynamics of solutions of delay differential equations and systems of such equations including questions of the existence, stability, dependence on parameters and bifurcations of periodic solutions, chaotic behavior, and global stability of equilibria. Collaborators will be Dr. Manuel Pinto and Sergei Trofimchuk, Universidad de Chile. The group also includes postdoctoral associates and graduate students.The project has the potential to solve several important theoretical problems, thus further developing the qualitative theory of the field, as well as the ability to bridge the development of theoretical issues with problems coming from actual applications. To achieve the goals of the project, the researchers will use various techniques and methods from the modern theory of dynamical systems, nonlinear analysis, qualitative theory of ordinary and delay differential equations, computational mathematics and perturbation methods.