Computational Research on Dynamical Systems

除了这项工作的数学方面之外，该项目还有可能通过开发探索动力系统的综合计算机环境而对科学界产生广泛影响。其目的是向这一环境的用户提供交互、有效地访问所有目前可用来研究一般系统动力学的算法以及有效管理这些研究中产生的数据的工具。在上述第一个问题的背景下，已经开发了这样一个环境的原型，但还需要进一步的工作，才能产生一个满足广泛应用程序和用户需要的一揽子方案。这些进一步的发展将与对具有重大理论意义的问题的研究一起进行。

In addition to the mathematical aspects of the work, the project has the potential for wide impact on the scientific community through the development of a comprehensive computer environment for the exploration of dynamical systems. The intention is to provide the user of this environment with interactive, efficient access to all currently available algorithms for studying the dynamics of general systems together with the tools for effectively managing the data produced in these studies. A prototype for such an environment has been developed in the context of the first problem listed above, but further work is required to produce a package that meets the needs of a broad spectrum of applications and users. These further developments will occur in conjunction with studies of problems of significant theoretical interest.