weak focusing meaning in English

弱聚焦

On the uniqueness of the limit cycle of the quadraticsystem with a 2nd - order weak focus
二次系统二阶细焦点外围极限环的唯一性
In the second section , we study the multiplicity of weak focus in system ( 1 ) when b = 0 , then system ( 1 ) becomes : in [ 7 ] , the authors show that system ( 2 ) has rich global dynamics depending on all parameters , including a weak focus with multiplicity at least 2 , but the authors did n ' t calculate the multiplicity . in the second section of this article , we calculate the order of the weak focus with formative series method and mathematica 4 . 0 , and show that the order of the weak focus is two for some parameters . we also get the stability , then by hopf bifurcation theorem , we show that system ( 2 ) has at least two limit cycles for some parameters
而且我们选择了系统的原参数中的二个作为分支参数，可以使系统( 1 )进行bogdanov - takens余维2普适开折，从而证明系统( 1 )同宿轨的存在性。第二部分我们讨论系统( 1 )当b = 0时细焦点的阶数。当b = 0时，系统( 1 )为一文7对系统p ）进行了全参数分析得到系统）丰富的全局动力学性质，但当参数取某些值时系统间出现了阶数大于或等于2的细焦点，文没有计算该细焦点的阶数。