A GENERAL PROPERTY OF THE QUADRATIC DIFFERENTIAL SYSTEMS
Citation：
Zhu Deming.A GENERAL PROPERTY OF THE QUADRATIC DIFFERENTIAL SYSTEMS[J].Chinese Annals of Mathematics B,1989,10(1):26~32
Page view： 909Net amount： 670
Authors：
Zhu Deming;
Abstract：
In this paper,it is proved that the quadratic differential systems with a weak saddle of order 2 or 3 have no closed or singular closed orbit. Then by the result of [3], it follows that the greatest order of the homoclinic loop bifurcation of a quadratic differential system is between 2 and 3 It means a homoclinic loop can be split into at most three limit cycles.
