Couette-Taylor流系统的低模分析及全局稳定性与同步的研究

摘要

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 feedback controller are effective in globally synchronizing two identical chaotic systems.Eventually,a numerical example is provided to validate the feasibility of the results.