A LOWER BOUND OF STABLE STATIONARY TRAJECTORIES

A LOWER BOUND OF STABLE STATIONARY TRAJECTORIES

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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.

作者 J.M. Soriano C. Ding

机构地区 Departamento de Andlisis Matemdtico Department of Applied Mathematics

出处《Acta Mathematica Scientia》 SCIE CSCD 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.

关键词 Autonomous system continuation methods TRAJECTORY nondegenerate critical point zero point stationary trajectory stable trajectory asymptotically stable Morse inequalities 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—基础数学]

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Acta Mathematica Scientia

2007年第3期

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A LOWER BOUND OF STABLE STATIONARY TRAJECTORIES

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