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Quasi Normal Sectors and Orbits in Regular Critical Directions of Planar System

Quasi Normal Sectors and Orbits in Regular Critical Directions of Planar System
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摘要 This paper deals with the qualitative behavior of orbits at degenerate singular point with the method of quasi normal sector, which is a generalization of Frommer's normal sectors. Several examples show that this method is more effective than the wellknown methods of Z-sectors, normal sectors and generalized normal sector. This paper deals with the qualitative behavior of orbits at degenerate singular point with the method of quasi normal sector, which is a generalization of Frommer's normal sectors. Several examples show that this method is more effective than the wellknown methods of Z-sectors, normal sectors and generalized normal sector.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2017年第5期1179-1196,共18页 数学年刊(B辑英文版)
基金 supported by the National Natural Science Foundation of China(No.11401111,No.11171355) the Ph.D.Programs Foundation of Ministry of Education of China(No.20100171110040)
关键词 平面系统 轨道 临界 扇区 正则 定性行为 奇点 Normal sector, Generalized normal sector, Quasi normal sector
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