Couette-Taylor流系统的低模分析及全局稳定性与同步的研究

LOW-DIMENSIONAL MODEL ANALYSIS AND GLOBAL STABILITY AND SYNCHRONIZATION STUDY OF COUETTE-TAYLOR FLOW SYSTEM

研究Couette-Taylor流三模Lorenz系统的部分动力学行为与仿真问题,并解释了对应的Couette-Taylor流的演化过程.给出了此三模系统的全局吸引集和正向不变集,得出两个三模系统全局指数同步结果,并利用仿真加以验证.

In this paper, the dynamic behaviors and synchronization is investigated for a three-mode system of Couette-Taylor flow, and the corresponding evolution of Couette-Taylor flow is also explained. By constructing a family of generalized radically infinite and positive definite Lyapunov functions, the globally attractive set and positively invariant set of the Couette-Taylor flow system are obtained. It is found that the designed linear feed- back controller are effective in globally synchronizing two identical chaotic systems. Eventually, a numerical example is provided to validate the feasibility of the results.