节点文献
一个Bendixson型定理及其应用
A BENDIXSON-TYPE THEOREM WITH APPLICATION
【摘要】 本文首先讨论不可约竞争或合作系统的闭轨的不存在性,然后讨论了负反馈系统的闭轨的存在性及稳定性。
【Abstract】 In this Paper, at first we discuss the nonexistence of closed orbits for irreduciblecompetitive or cooperative system X = F(X) . X∈U, F∈C’ (U) .where U is an open P -convex set in R3.secondly deal with the existence and stability of closed orbits for non-negative feedback system x1 = f (x3) -a1x1,x2 = x1 - a2x2,x3=x2-a3x3,where 0<a1.for i - 1,2,3,f’(x3)≤0 for x3≥0.
【关键词】 不可约竞争或合作系统;
闭轨;
稳定性;
渐近稳定性;
【Key words】 irreducible competitive or cooperative system; closed orbit; stability; asymptotical stabitity.;
【Key words】 irreducible competitive or cooperative system; closed orbit; stability; asymptotical stabitity.;
【基金】 国家自然科学基金
- 【文献出处】 杭州师范学院学报 ,Journal of Hangzhou Teachers College , 编辑部邮箱 ,1996年03期
- 【分类号】O171
- 【下载频次】27