| 一个分数阶混沌系统的分析及电路设计 |
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| 引用本文： | 贾红艳.一个分数阶混沌系统的分析及电路设计[J].天津科技大学学报,2013(1):55-58. |
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| 作者姓名： | 贾红艳 |
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| 作者单位： | 天津科技大学电子信息与自动化学院 |
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| 基金项目： | 国家自然科学基金资助项目(11202148);天津科技大学科学研究基金资助项目(20110124) |
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| 摘 要： | 基于一个整数阶的四翼混沌系统，采用频域近似的方法研究它的分数阶方程，发现了该分数阶系统的混沌吸引子．通过对它的分形分析，观察到较丰富的动力学特性，即不仅可以观察到混沌吸引子，而且也能观察到不同周期的周期轨．最后，设计一个模拟电路实现了这一分数阶系统，为该分数阶混沌的应用提供技术上的支持．
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| 关 键 词： | 分数阶混沌系统 分形分析 电路设计 |
Analysis of and Circuit Design for a Fractional Chaotic System |
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| JIA Hongyan.Analysis of and Circuit Design for a Fractional Chaotic System[J].Journal of Tianjin University of Science & Technology,2013(1):55-58. |
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| Authors: | JIA Hongyan |
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| Institution: | JIA Hongyan (College of Electric Information and Automation,Tianjin University of Science & Technology,Tianjin 300222,China) |
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| Abstract: | The fractional equation of a four-wing chaotic system was studied and a chaotic attractor was found by using approximation of the frequency domain. More dynamic characteristics were observed through studying its bifurcation. Not only chaotic attractors, but also periodic orbits can be found. At last, an analog circuit was designed to provide technologic support for the application of the fractional chaotic system. |
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| Keywords: | fractional chaotic system bifurcation analysis circuit design |
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