Quasi normal sectors and orbits in regular critical directions of planar system
Shimin Li , Yulin Zhao
Chinese Annals of Mathematics, Series B ›› 2017, Vol. 38 ›› Issue (5) : 1179 -1196.
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.
Normal sector / Generalized normal sector / Quasi normal sector
| [1] |
|
| [2] |
|
| [3] |
|
| [4] |
|
| [5] |
|
| [6] |
|
| [7] |
|
| [8] |
|
| [9] |
|
| [10] |
|
| [11] |
Oliveira, R. D. S. and Zhao, Y., On the structural stability of planar quasi-homogeneous polynomial vector fields, Qual. Theory Dyn. Syst., 13, 2013, DOI: 10.1007/s12346-013-0105-5. |
| [12] |
|
| [13] |
|
| [14] |
|
/
| 〈 |
|
〉 |