| 一类三维混沌系统的Bautin分岔分析 |
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| 引用本文： | 李群宏,谭洁燕,席洁珍,丁学利.一类三维混沌系统的Bautin分岔分析[J].动力学与控制学报,2010,8(1):39-42. |
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| 作者姓名： | 李群宏 谭洁燕 席洁珍 丁学利 |
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| 作者单位： | 广西大学数学与信息科学学院,南宁,530004 |
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| 基金项目： | 广西青年科学基金(0832014)资助项目~~ |
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| 摘 要： | 研究一类具有三维自治常微分方程组形式的新的类Chen系统的余维二分岔．首先通过坐标变换，把原系统的平衡点平移到新系统的原点．通过对平移后所得新系统的Jacobi矩阵的分析，推导系统发生余维二Bautin分岔的参数条件．借助计算机对类Chen系统进行数值仿真，得到该系统发生Bautin分岔的分岔图，与理论推导结果相符合，从而验证了理论推导的正确性．
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| 关 键 词： | 类chen系统 余维二 Bautin分岔 数值仿真 |
| 收稿时间： | 7/7/2009 12:00:00 AM |
| 修稿时间： | 2009/7/24 0:00:00 |
Bautin bifurcation of a 3-dimensional chaotic system |
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| Li Qunhong,Tan Jieyan,Xi Jiezhen and Ding Xueli.Bautin bifurcation of a 3-dimensional chaotic system[J].Journal of Dynamics and Control,2010,8(1):39-42. |
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| Authors: | Li Qunhong Tan Jieyan Xi Jiezhen and Ding Xueli |
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| Affiliation: | College of Mathematics and Information Science;Guangxi University;Nanning 530004;China |
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| Abstract: | The codimension-2 bifurcation in a three-dimensional differential system derived from the famous Chen system was investigated.At first,the equilibrium discussed in the original system was translated to the origin of the coordinates of the new dynamical system by the change of variables.Then the parameter conditions for the codimension-2 Bautin bifurcation were presented by analyzing the Jacobian matrix of the corresponding system.Bifurcation diagrams of the aforementioned system,which demonstrate the Bautin... |
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| Keywords: | Chen-like system codimension-two Bautin bifurcation numerical simulation |
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