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| Quasi Normal Sectors and Orbits in RegularCritical Directions of Planar System |
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Citation： |
Shimin LI,Yulin ZHAO.Quasi Normal Sectors and Orbits in RegularCritical Directions of Planar System[J].Chinese Annals of Mathematics B,2017,38(5):1179~1196 |
| Page view： 3037
Net amount： 1088 |
Authors： |
Shimin LI; Yulin ZHAO |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (No.11401111, No.11171355) and the Ph. D.
Programs Foundation of Ministry of Education of China&(No.20100171110040). |
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| Abstract： |
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 well-known
methods of $Z$-sectors, normal sectors and generalized normal
sector. |
Keywords： |
Normal sector, Generalized normal sector, Quasi normal sector |
Classification： |
34C05, 34C20 |
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