| 光滑Chua系统异宿轨道存在性的证明 |
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| 引用本文： | 陈建军,禹思敏.光滑Chua系统异宿轨道存在性的证明[J].工程数学学报,2011(5):693-701. |
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| 作者姓名： | 陈建军 禹思敏 |
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| 作者单位： | 广东工业大学自动化学院; |
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| 基金项目： | 国家自然科学基金(6057207360871025); 广东省自然科学基金(8151009001000060;8351009001000002)~~ |
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| 摘 要： | 本文用待定系数法证明了具有三次多项式光滑Chua系统异宿轨道的存在性.首先,将光滑Chua系统转换为只含有一个变量的非线性微分方程.其次,证明了该非线性微分方程存在一个指数形式的无穷级数展开式表示的异宿轨道.最后,证明了该无穷级数展开式的一致收敛性,结合Shilnikov不等式,论证了该系统存在Smale马蹄,因而是S...
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| 关 键 词： | 待定系数法 异宿轨道 Shilnikov定理 光滑型Chua系统 |
Existence of the Heteroclinic Orbit in a Smooth Chua System |
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| CHEN Jian-jun,YU Si-min.Existence of the Heteroclinic Orbit in a Smooth Chua System[J].Chinese Journal of Engineering Mathematics,2011(5):693-701. |
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| Authors: | CHEN Jian-jun YU Si-min |
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| Affiliation: | CHEN Jian-jun,YU Si-min(College of Automation,Guangdong University of Technology,Guangzhou 510006) |
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| Abstract: | In this paper,the undetermined coefficient method is applied to prove the existence of heteroclinic orbit in a smooth Chua system with a cubic polynomial.Firstly,the smooth Chua system is converted to a nonlinear differential equation with only one variable.Secondly,the nonlinear differential equation is verified to have a heteroclinic orbit expressed by the infinite series expansion with the exponential form.Finally,the uniform convergence of the series expansion of the heteroclinic is proved.Combining the... |
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| Keywords: | undermined coefficent method heteroclinic orbit Shilnikov theorem smooth Chua system |
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