Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 3 (2007), 077, 21 pages      math.DS/0612467      https://doi.org/10.3842/SIGMA.2007.077

Global Stability of Dynamic Systems of High Order

Mohammed Benalili and Azzedine Lansari
Department of Mathematics, B.P. 119, Faculty of Sciences, University Abou-bekr BelKaïd, Tlemcen, Algeria

Received December 18, 2006, in final form June 04, 2007; Published online July 15, 2007

Abstract
This paper deals with global asymptotic stability of prolongations of flows induced by specific vector fields and their prolongations. The method used is based on various estimates of the flows.

Key words: global stability; vector fields; prolongations of flows.

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