Details:
Title  Complex centers of polynomial differential equations.  Author(s)  M. Kalinin  Type  Article in Journal  Abstract  We present some results on the existence and nonexistence of centers for polynomial first order ordinary differential equations with complex coefficients. In particular, we show that binomial differential equations without linear terms do not have complex centers. Classes of polynomial differential equations, with more than two terms, are presented that do not have complex centers. We also study the relation between complex centers and the Pugh problem. An algorithm is described to solve the Pugh problem for equations without complex centers. The method of proof involves phase plane analysis of the polar equations and a local study of periodic solutions.  ISSN  10726691/e 
URL 
http://www.emis.de/journals/EJDE/Volumes/2007/101/abstr.html 
Language  English  Journal  Electron. J. Differ. Equ.  Volume  2007  Pages  15  Publisher  Southwest Texas State University, Department of Mathematics, San Marcos, TX; North Texas State Unive  Year  2007  Edition  0  Translation 
No  Refereed 
No 
