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    张惠, 褚衍东, 丁旺才, 李险峰

    Bifurcation control of a cubic symmetry discrete chaotic system

    Zhang Hui, Chu Yan-Dong, Ding Wang-Cai, Li Xian-Feng
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    • 通过分析对称性破缺分岔机制, 采用了一个直接的、有效的线性控制器, 精确控制了一类三次方对称离散混沌系统发生对称性破缺分岔和倍周期分岔时分岔点的位置. 进而分析了系统对初始值的敏感性和对称性, 选择合适的吸引域, 将对称性破缺分岔进行进一步控制, 从而使得对称性破缺分岔所缺解枝得以恢复. 数值结果表明了该控制器的有效性.
      A direct and effective linear-controller is employed to exactly control the locations of bifurcation points, both the symmetry-breaking bifurcation and the period-doubling bifurcation, in a cubic symmetry discrete system. Moreover, both the sensibility and the symmetry to the initial values of the system are analyzed. The lack of the solution branches due to the symmetry-breaking bifurcation can be reinstated temporarily by selecting the corresponding basins of attraction. The effectiveness of the controller is verified by numerical simulations.
        • 基金项目:国家自然科学基金(批准号:11161027,11162007)、甘肃省自然科学重点基金(批准号:1010RJZA067)和兰州交通大学青年科学基金(批准号:2011026)资助的课题.
        • Funds:Project supported by the National Natural Science Foundation of China (Grant Nos. 11161027, 11162007), the Key Foundation of Natural Science of Gansu Province, China (Grant No. 1010RJZA067), and the Young Scholars Science Foundation of Lanzhou Jiaotong University, China (Grant No. 2011026).
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      计量
      • 文章访问数:7026
      • PDF下载量:868
      • 被引次数:0
      出版历程
      • 收稿日期:2012-08-05
      • 修回日期:2012-09-26
      • 刊出日期:2013-02-05

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