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Characterization of static bifurcations for n-dimensional flows in the frequency domain

ISSN号：2095-6983
期刊名称：《控制理论与技术：英文版》
时间：0
分类：TP271.6[自动化与计算机技术—控制科学与工程;自动化与计算机技术—检测技术与自动化装置]
作者机构：[1]Department of Mathematics, Sun Yat-Sen University, Guangzhou Guangdong 510275, China, [2]School of Informatics, Guangdong University of Foreign Studies, Guangzhou Guangdong 510006, China
相关基金：This work was supported by the National Natural Science Foundation of China （No. 10371136）.

关键词：静态分歧, 频域逼近, n维流程, 连续时间系统, Static bifurcation, Frequency domain approach, Saddle-node bifurcation, Transcritical bifurcation, Pitchfork bifurcation

中文摘要：

在这糊 n 维的流动(由连续时间的系统描述了) 与静电干扰，分叉用频率领域形式主义与不同基本分叉的分类的目的被考虑。基于频率领域途径，我们为僵绳节点分叉证明一些标准， transcritical 分叉；草耙分叉，；给一个例子说明获得的结果的效率。

英文摘要：

In this paper n-dimensional flows （described by continuous-time system） with static bifurcations are considered with the aim of classification of different elementary bifurcations using the frequency domain formalism. Based on frequency domain approach, we prove some criterions for the saddle-node bifurcation, transcritical bifurcation and pitchfork bifurcation, and give an example to illustrate the efficiency of the result obtained.

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