周义仓.在混合扰动下从闭轨族分支的极限环[J].数学研究及应用,1997,17(2):309~312
在混合扰动下从闭轨族分支的极限环
Bifurcation of Limit Cycles from Planar Isochrones Depending on a Small Parameter
  
DOI:10.3770/j.issn:1000-341X.1997.02.032
中文关键词:  分支  极限环  微分方程
英文关键词:bifurcation  limit cycles  differential equations.
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作者单位
周义仓 西安交通大学数学系 
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中文摘要:
      本文讨论了对确定微分方程组的向量场和分析其轨线穿过方向的参考闭曲线族同时进行扰动分支极限环的方法,并给出了一个平面二次微分系统在混合扰动下分支出三个极限环的例子
英文摘要:
      In this paper planar vector fields and their periodic trajectories surrounding an isochronous center are perturbed to bifurcate limit cycles. A criterion function is given to determine the number and position of limit cycles which emerge from the periodic trajectories of unperturbed vector fields. A plane quadratic vector field is used to show the advantage of the method presented in this paper.
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