Attractiveness and Hopf bifurcation for retarded differential equations

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June 2003, 2(2): 147-158. doi: 10.3934/cpaa.2003.2.147

Attractiveness and Hopf bifurcation for retarded differential equations

R. Ouifki ^1, , M. L. Hbid ^1, and O. Arino ^2,

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

Received May 2002 Revised December 2002 Published March 2003

Abstract
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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.

Keywords: retarded differential equations., Attractiveness, Hopf bifurcation.

Mathematics Subject Classification: 34K2.

Citation: R. Ouifki, M. L. Hbid, O. Arino. Attractiveness and Hopf bifurcation for retarded differential equations. Communications on Pure & Applied Analysis, 2003, 2 (2) : 147-158. doi: 10.3934/cpaa.2003.2.147

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