一类非线性系统的稳定性与Hopf分支分析

文章研究了一类含参数的非线性系统中当参数发生微小改变时,系统相图的基本结构变化情况。应用Hopf分支理论进行包括分支方向、轨道稳定性等分析,得出了系统在参数μ取某特定值时会发生Hopf分支,并运用MATLAB软件进行数值模拟验证了所得结论的正确性。...

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Bibliographic Details
Published in辽东学院学报（自然科学版） Vol. 25; no. 1; pp. 73 - 76
Main Author 朱士军
Format Journal Article
LanguageChinese
Published 罗定职业技术学院教育系,广东 罗定,527200 2018
Subjects
Hopf分支
奇点
稳定性
Hopf分支
奇点
稳定性
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ISSN1673-4939
DOI10.14168/j.issn.1673-4939.2018.01.14

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Summary:文章研究了一类含参数的非线性系统中当参数发生微小改变时,系统相图的基本结构变化情况。应用Hopf分支理论进行包括分支方向、轨道稳定性等分析,得出了系统在参数μ取某特定值时会发生Hopf分支,并运用MATLAB软件进行数值模拟验证了所得结论的正确性。
Bibliography:ZHU Shi-jun（Department of Education,Luoding Vocational College of Technology,Luoding 527200,China ）
singular point;stability;Hopf bi furcation
A class of nonlinear systems that contains parameters was studied.The basic structure of the systems will change when the parameter values change slightly.With Hopf bifurcation theory,the bifurcation direction and track stability of the systems were analyzed.It was found that Hopf bifurcation would happen when μwas given a specific value.The results simulated with MATLAB show that the obtained conclusion is correct.
21-1533/N
ISSN:1673-4939
DOI:10.14168/j.issn.1673-4939.2018.01.14