A LOWER BOUND OF STABLE STATIONARY TRAJECTORIES

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

Acta mathematica scientia,Series B

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A LOWER BOUND OF STABLE STATIONARY TRAJECTORIES

J.M. Soriano; C. Ding

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

Received:2005-02-24 Revised:1900-01-01 Online:2007-07-20 Published:2007-07-20
Contact: J.M. Soriano

Abstract

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

CLC Number:

34A12

J.M. Soriano; C. Ding. A LOWER BOUND OF STABLE STATIONARY TRAJECTORIES[J].Acta mathematica scientia,Series B, 2007, 27(3): 535-540.

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A LOWER BOUND OF STABLE STATIONARY TRAJECTORIES

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