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On the Singular Points at Infinity of Second Order Planar Systems
Author(s): 
Pages: 16-28
Year: Issue:  2
Journal: Transactions of Beijing Institute of Technology

Keyword:  奇点无穷远等倾线法二次系统轨线鞍点公因子特征行列式证明方法圣一;
Abstract: This paper deals with the singular points at infinity of planar second order systems such asIf D≠0, the singular points at infinity of the above systems can be typed according to their number and the sign of D. If D = 0, on the other hand, the above systems can be reduced and the singular points of high order which may appear in this case can be analysed by using the Briot-Bouquet translation and the isoclinic method. This paper gives all types of singular points at infinity which appear in second order planar systems.
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