Computational Study of Complex Dynamics in Engineering Systems

工程系统动态行为的研究（通过 实验，建模和计算）是不可分割的一部分， 工程的理解、设计、操作和控制 过程，从实验室规模的实验到操作 化工厂 治疗从周期性 生物反应器对大型结构的响应的收获， 振荡载荷作为时间推进问题，初始值问题， 传统上为系统提供大部分信息 动力学 在过去的十年中，局部分叉分析已经被 作为一种替代方法来分类的行为， 非线性系统 事实上，算法可用于分叉 分析，例如，PITCON，DERPAR，PEFLOQ等。 基于数值实现的分析程序关闭 分歧点和迭代解的非线性方程。 然而，大多数这些治疗仅治疗周期性反应和局部 分叉 本研究项目将扩展动态系统 研究更一般的系统响应，特别强调 在工作站级别的交互式图形数据操作。

The study of the dynamic behavior of engineering systems (through experiments, modelling, and computation) is an integral part of the understanding, design, operation, and control of engineering processes, ranging from laboratory-scale experiments to operating chemical plants. Treating problems that range from periodic harvesting of a bioreactor to the response of large structures to oscillatory loads as time marching problems, initial value problems, has traditionally provided most of the information for systems dynamics. During the last ten years local bifurcation analysis have been developed as an alternative method to classify the behavior of nonlinear systems. In fact, algorithms are available for bifurcation analysis, e.g. AUTO, PITCON, DERPAR, PEFLOQ, etc. The algorithms are based on the numerical implementation of analytical procedures close to bifurcation points and iterative solution of nonlinear equations. However, most of these treat only periodic responses and local bifurcations. This research project will extend dynamic system studies to more general system response with special emphasis on interactive graphic data manipulation at the work station level.