| 分数阶Duffing混沌系统的动力性态及其由单一主动控制的混沌同步 |
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| 引用本文： | 何桂添,罗懋康.分数阶Duffing混沌系统的动力性态及其由单一主动控制的混沌同步[J].应用数学和力学,2012,33(5):539-552. |
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| 作者姓名： | 何桂添 罗懋康 |
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| 作者单位： | 四川大学数学系,成都,610064 |
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| 基金项目： | 国家自然科学基金资助项目，教育部长江学者和创新团队发展计划基金资助项目 |
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| 摘 要： | 随着物理与技术的深入研究,分数阶非线性系统的动力性态及其分数阶混沌系统的同步成为研究的焦点.研究了分数阶Duffing系统的动力性态包括混沌性质,并且由分数阶非线性稳定性准则得到了分数阶非自治系统的混沌同步.特别地,研究了由单一主动控制的分数阶Duffing系统的同步.相应的数值结果演示了方法的有效性.
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| 关 键 词： | Caputo分数阶微分 分数阶Duffing系统 同步 |
Dynamic Behavior of Fractional Order Duffing Chaotic System and Its Synchronization Via Singly Active Control |
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| HE Gui-tian
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LUO Mao-kang.Dynamic Behavior of Fractional Order Duffing Chaotic System and Its Synchronization Via Singly Active Control[J].Applied Mathematics and Mechanics,2012,33(5):539-552. |
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| Authors: | HE Gui-tian LUO Mao-kang |
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| Institution: | (Department of Mathematics,Sichuan University,Chengdu 610064,P.R.China) |
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| Abstract: | Along with the deepening of research on physics and technology,dynamics of fractional order nonlinear systems and synchronization of fractional order chaotic systems focus strong attention on itself. The dynamic behavior including chaotic properties of fractional order Duffing systems was extensively investigated and,via the stability criterion of linear fractional systems,the synchronization of a fractional non-autonomous system was obtained.Especially,a kind of effective singly active control was proposed and applied to synchronize the fractional order Duffing system.The corresponding numerical results demonstrated the effectiveness of the proposed methods. |
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| Keywords: | caputo fractional derivative fractional order duffing system synchronization |
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