journal6 ›› 2001, Vol. 22 ›› Issue (2): 50-53.
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国家自然科学基金资助项目( 10071022)
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摘要：运用分支的方法, 通过分析未扰系统的同宿轨和周期轨在扰动破裂以后的分支情况, 研究了一类 Duffing方程x = y , y = x- x3+y+xy 的极限环的存在性问题, 给出了产生极限环的条件.
关键词： Duffing方程, 同宿轨, 分支, 极限环
Abstract: In this paper, we studied the exis tence problems of limit cycles of a class of Duffing equation x= y,y= x+y+xy. The bifurcation method was used to analyze the bifurcation after the homoclinic and periodic orbi t of the unperturbed sys tem was perturbed to break. The condi tions were given to ensure the generation of limit cycles.
Key words: duffing equation, homoclinic orbit, bifurcation, limit cycle
金银来. 一类Duffing 方程的分支问题[J]. journal6, 2001, 22(2): 50-53.
JIN Yin-Lai. The Bifurcation Problems of a Class of Duffing Equation[J]. journal6, 2001, 22(2): 50-53.
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https://zkxb.jsu.edu.cn/CN/Y2001/V22/I2/50
