Darboux First Integral Conditions and Integrability of the 3D Lotka-Volterra System

被引：0
|
作者：
Laurent Cairó
机构：
[1] Université d’Orléans- UFR Sciences,MAPMO
来源：
Journal of Nonlinear Mathematical Physics | 2000年 / 7卷 / 4期
关键词：
D O I：
10.2991/jnmp.2000.7.4.8
中图分类号：
学科分类号：
摘要：
We apply the Darboux theory of integrability to polynomial ODE’s of dimension 3. Using this theory and computer algebra, we study the existence of first integrals for the 3—dimensional Lotka—Volterra systems with polynomial invariant algebraic solutions linear and quadratic and determine numerous cases of integrability.
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页码：511 / 531
页数：20
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