Dynamics and control of bluff-body-wake-structure interaction and practical applications

时空对称性，普遍存在于物理系统中，可以用来获得高度简化的模型，然而，可以模拟复杂的系统动力学的研究人员的兴趣。等变分岔理论使系统的研究范围内的动力学，过渡和约束所引起的对称性的存在。对振幅方程的动力学分析已得到重要的新结果。强迫卡门尾流的分岔序列与一大类具有SO（2）对称性的物理系统的动力学有关。所提出的工作的新奇是利用自然几何（时空对称性）常见的许多复杂系统，如剪切流，化学反应等，以获得简化的流量控制策略或法律。

Spatio-temporal symmetry, ubiquitous in physical systems, can be used to derive highly simplified models which, however, can model the complex system dynamics of interest to researchers. The equivariant bifurcation theory has enabled a systematic study of the range of dynamics, transitions and constraints induced by the presence of symmetry. A dynamical analysis of the amplitude equations has yielded important and new results. The sequence of bifurcations of the forced Karman wake have been related to the dynamics of a large class of physical systemes having SO(2) Symmetry. The novelty of the proposed work is the exploitation of the natural geometry (spatio-temporal symmetry) common many complex systems such as sheared flows, chemical reactions, etc. to derive simplified flow control strategies or laws.