A LOWER BOUND OF STABLE STATIONARY TRAJECTORIES

J.M. Soriano; C. Ding

doi:10.1016/S0252-9602(07)60053-8

Acta mathematica scientia, Series B >

2007 , Vol. 27 >Issue 3: 535 - 540

DOI: https://doi.org/10.1016/S0252-9602(07)60053-8

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A LOWER BOUND OF STABLE STATIONARY TRAJECTORIES

J.M. Soriano ,
C. Ding

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Departamento de Analisis Matematico, Facultad de Matematicas, Universidad de Sevilla, Aptdo. 1160, Sevilla 41080, Spain

Received date: 2005-02-24

Revised date: 1900-01-01

Online published: 2007-07-20

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Abstract

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 trajectories.

Key words： Autonomous system; continuation methods; trajectory; nondegenerate critical point; zero point; stationary trajectory; stable trajectory; asymptotically stable; Morse inequalities

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J.M. Soriano , C. Ding . A LOWER BOUND OF STABLE STATIONARY TRAJECTORIES[J]. Acta mathematica scientia, Series B, 2007 , 27(3) : 535 -540 . DOI: 10.1016/S0252-9602(07)60053-8

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