A LOWER BOUND OF STABLE STATIONARY TRAJECTORIES  

作　　者：J.M. Soriano C. Ding 

机构地区：[1]Departamento de Andlisis Matemdtico, Facultad de Matematicas, Universidad de Sevilla, Aptdo. 1160, Sevilla 41080, Spain [2]Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310032, China

出　　处：《Acta Mathematica Scientia》2007年第3期535-540,共6页数学物理学报（B辑英文版）

基　　金：This work is partially supported by D.G.Y.C.T.PB 96-1338-CO 2-01 and the Junta de Andalucía.

摘　　要：It is proven that an autonomous system verifying some conditions has at least one stable stationary trajectory and it is also given a lower bound to the number of unstable stationary trajectorlies.It is proven that an autonomous system verifying some conditions has at least one stable stationary trajectory and it is also given a lower bound to the number of unstable stationary trajectorlies.

关 键 词：Autonomous system continuation methods TRAJECTORY nondegenerate critical point zero point stationary trajectory stable trajectory asymptotically stable Morse inequalities 

分 类 号：O174.13[理学—数学]