| 一个新的超混沌耦合发电机系统及其超混沌控制 |
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| 引用本文： | 谢艳云,蔡文良.一个新的超混沌耦合发电机系统及其超混沌控制[J].重庆文理学院学报,2016,35(2):19-22. |
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| 作者姓名： | 谢艳云 蔡文良 |
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| 作者单位： | 重庆水利电力职业技术学院， 重庆永川402160;重庆水利电力职业技术学院， 重庆永川402160 |
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| 基金项目： | 重庆水利电力职业技术学院院级资助项目(K201411) |
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| 摘 要： | 在三维耦合发电机系统的基础上,引入非线性控制器，构建一个新的超混沌耦合发电机系统，分析了新系统平衡点的性质、Lyapunov指数谱、吸引子的相图等动力学特性；利用线性反馈控制法，通过设计合适的反馈增益,实现了新系统的超混沌控制.理论分析和数值仿真验证了该方法的有效性.
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| 关 键 词： | 分数阶系统 延迟 混沌 同步 |
A new four dimensional hyperchaotic coupled dynamos system and its hyperchaotic control |
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| XIE Yanyun and CAI Wenliang.A new four dimensional hyperchaotic coupled dynamos system and its hyperchaotic control[J].Journal of Chongqing University of Arts and Sciences,2016,35(2):19-22. |
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| Authors: | XIE Yanyun and CAI Wenliang |
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| Institution: | Chongqing Water Conservancy and Electric Power Vocational Technology College, Yongchuan Chongqing 402160, China;Chongqing Water Conservancy and Electric Power Vocational Technology College, Yongchuan Chongqing 402160, China |
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| Abstract: | The four dimensional hyperchaotic coupled dynamos system is built by adding a nonlinear controller to the three dimensional coupled dynamos system. Firstly, a set of parameters are identified when the system has hyperchaotic attractors. Then, the complex dynamic characteristics of the new system are analyzed, such as the dissipativity, the lyapunov exponents and lyapunov dimension, the equilibrium point. Hyperchaotic attractors is confirmed in the new system. Finally, the hyperchaotic motion of the new system is suppressed by using method of linear state feedback control. Theory and numerical simulations show the effectiveness of the method. |
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