On bifurcations of a system of cubic differential equations with an integrating multiplier singular along a second-order curve

被引:0
作者
Alekseev, Aleksandr A. [1 ]
机构
[1] NI Lobachevsky State Univ Nizhny Novgorod, Nizhnii Novgorod 603022, Russia
关键词
integrating multiplier; cubic differential equations; bifurcations; limit cycles; DYNAMICAL-SYSTEMS;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We establish necessary and sufficient conditions for existence of an integrating multiplier of a special form for systems of two cubic differential equations of the first order. We further study bifurcations of such systems with the change of parameters of their integrating multipliers.
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页数:6
相关论文
共 6 条
[1]  
Alekseev A. A., 2009, VESTNIK LOBACHEVSKY, P94
[2]  
Dolov M. V., 1978, DIFF EQUAT, V14, P1253
[3]  
Dolov M. V., 1984, DIFFERENTIAL INTEGRA, P36
[4]  
DOLOV MV, 1994, DIFF EQUAT+, V30, P876
[5]   Polynomial differential systems having a given Darbouxian first integral [J].
Llibre, J ;
Pantazi, C .
BULLETIN DES SCIENCES MATHEMATIQUES, 2004, 128 (09) :775-788
[6]   Visualization and analysis of invariant sets of dynamical systems [J].
Morozov, AD ;
Dragunova, TN .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (08) :5285-5296