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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

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 and Applied Analysis, 2003, 2 (2) : 147-158. doi: 10.3934/cpaa.2003.2.147
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