Attractiveness and Hopf bifurcation for retarded differential equations

R. Ouifki; M. L. Hbid; O. Arino

doi:10.3934/cpaa.2003.2.147

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2003, Volume 2, Issue 2: 147-158. Doi: 10.3934/cpaa.2003.2.147

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Attractiveness and Hopf bifurcation for retarded differential equations

1.
Faculty of Sciences Semlalia, Cadi Ayyad University, B.P. 2390, Marrakesh
2.
LIA GEODES IRD Bondy, 32, avenue Henri Varagnat, 93143-Bondy Cedex

Received: April 30, 2002

Revised: November 30, 2002

Published: May 2003

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Abstract

This paper deals with attractiveness and Hopf bifurcation for functional differential equations. The method used is based on the center manifold reduction and the $h$-asymptotic stability related to the Poincaré procedure.

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Mathematics Subject Classification: 34K20.

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Attractiveness and Hopf bifurcation for retarded differential equations

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