平面系统从幂零焦点或中心的极限环分支
Limit cycle bifurcations from a nilpotent focus or center of planar systems
摘要：
本文研究了Poincare返回映射的解析性质和具有幂零焦点或中心的解析平面系统的广义焦点值。然后利用焦点值和映射研究了这类含参数系统的极限环的个数，得到了幂零焦点或中心附近最大极限环个数的上、上界的一些新结果。
英文摘要：
In this paper, we study the analytical property of the Poincare return map and the generalized focal values of an analytical planar system with a nilpotent focus or center. Then we use the focal values and the map to study the number of limit cycles of this kind of systems with parameters, and obtain some new results on the lower and upper bounds of the maximal number of limit cycles near the nilpotent focus or center.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
