INVARIANT ALGEBRAIC SURFACES OF SOME DYNAMICAL SYSTEM

被引：0
|
作者：
Tinghua L [1 ]
机构：
[1] Dept. of Math., Shandong Institute of Business and Technology
来源：
Annals of Differential Equations | 2013年 / 29卷 / 01期
关键词：
invariant algebraic surface; Darboux polynomial; algebraic integrability;
D O I：
暂无
中图分类号：
O187.1 [代数曲线、代数曲面];
学科分类号：
摘要：
In this paper, we study the invariant algebraic surfaces of a system, which generalizes the Lorenz system. Using the weight homogeneous polynomials and the method of characteristic curves for solving linear partial differential equations, we characterize all the Darboux invariants, the irreducible Darboux polynomials, the rational first integrals and the algebraic integrability of this system.
引用
收藏
页码：56 / 67
页数：12
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