NON－EXISTENCE　OF　SINGULAR　CYCLES　IN　A　QUADRIC　DIFFERENTIAL　SYSTEM　WITH　FINE　FOCUS　OF　ORDER　THREE  

作　　者：LU Gang LIANG Zhao jun(Department of Mathematics, Huazhong Normal Universitg, Wuhan 430070, China) 

出　　处：《Systems Science and Mathematical Sciences》1994年第2期133-139,共7页

摘　　要：ＮＯＮ－ＥＸＩＳＴＥＮＣＥＯＦＳＩＮＧＵＬＡＲＣＹＣＬＥＳＩＮＡＱＵＡＤＲＩＣＤＩＦＦＥＲＥＮＴＩＡＬＳＹＳＴＥＭＷＩＴＨＦＩＮＥＦＯＣＵＳＯＦＯＲＤＥＲＴＨＲＥＥ￥ＬＵＧａｎｇ；ＬＩＡＮＧＺｈａｏｊｕｎ（ＤｅｐｏｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃ...The problem Of ekistence or non-existence Of singular cycles (or komodiaiclOoPS and keteroclinic cydes as being termed in the modern literature of nonlinear dyndric systems) is one of the most important subjects in the study of quadratic differentialsystems. In this paperl we prove that there edest no singular cycles either connecting finitesingular points or connecting singular points at infinity for a quadratic differential systemwith fine focus Of order three.

关 键 词：Homodinic HETEROCLINIC centre-focus criterion SINGULAR cycles. 

分 类 号：O186.1[理学—数学]