一类具有1:-4共振奇点的复三次Lotka-Volterra系统的可积性条件

Integrability Conditions for a Class of Complex Cubic Lotka-Volterra Systems with a 1:-4 Resonant Singular Point

对于一类具有1:-4共振奇点的复三次Lotka-Volterra系统,通过前12阶广义奇点量的计算,给出系统可积的充分条件.这些条件通过构造积分因子或形式积分得以证明.

For a class of complex cubic Lotka-Volterra systems with a 1 ： -4 resonant singular point, some sufficient conditions for integrability are obtained through the compu- tations of the first twelve generalized singular point values. All these conditions are verified by constructing integrating factors or formal first integrals.