Attractiveness and Hopf bifurcation for retarded differential equations

Pages: 147 - 158, Volume 2, Issue 2, June 2003

doi:10.3934/cpaa.2003.2.147       Abstract        Full Text (230.0K)       Related Articles

R. Ouifki - Faculty of Sciences Semlalia, Cadi Ayyad University, B.P. 2390, Marrakesh, Morocco (email)
M. L. Hbid - Faculty of Sciences Semlalia, Cadi Ayyad University, B.P. 2390, Marrakesh, Morocco (email)
O. Arino - LIA GEODES IRD Bondy, 32, avenue Henri Varagnat, 93143-Bondy Cedex, France (email)

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.

Keywords:  Attractiveness, Hopf bifurcation, retarded differential equations.
Mathematics Subject Classification:  34K20.

Received: May 2002;      Revised: December 2002;      Published: March 2003.