| Couette-Taylor流系统的低模分析及全局稳定性与同步的研究 |
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| 引用本文： | 阚猛,王贺元,段文元.Couette-Taylor流系统的低模分析及全局稳定性与同步的研究[J].动力学与控制学报,2017,15(5):415-422. |
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| 作者姓名： | 阚猛 王贺元 段文元 |
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| 作者单位： | 辽宁工业大学理学院,锦州,121001 |
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| 基金项目： | 国家自然科学基金（11572146；11526105）、辽宁省教育厅科研基金（L2013248）和锦州市科技专项基金（13A1D32）资助 |
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| 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.
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| 关 键 词： | Couette—Taylor流 全局吸引集 正向不变集 全局指数同步 |
| 收稿时间： | 2016/5/22 0:00:00 |
| 修稿时间： | 2016/11/2 0:00:00 |
Low-dimensional model analysis and global stability and synchronization study of Couette-Taylor flow system |
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| Kan Meng,Wang Heyuan and Duan Wenyuan.Low-dimensional model analysis and global stability and synchronization study of Couette-Taylor flow system[J].Journal of Dynamics and Control,2017,15(5):415-422. |
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| Authors: | Kan Meng Wang Heyuan and Duan Wenyuan |
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| Abstract: | 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. |
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| Keywords: | Couette-Taylor flow globally attractive sets positively invariant set globally exponential synchronization |
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