A Maple program for computing a terms of a center manifold, and element of bifurcations for a class of retarded functional differential equations with Hopf singularity-Reference-Cited by-同舟云学术

A Maple program for computing a terms of a center manifold, and element of bifurcations for a class of retarded functional differential equations with Hopf singularity

Published:2006-04 Issue:2 Volume:175 Page:932-968
ISSN:0096-3003
Container-title:Applied Mathematics and Computation
language:en
Short-container-title:Applied Mathematics and Computation

Author:

Qesmi R.,Ait Babram M.,Hbid M.L.

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference21 articles.

1. Approximation scheme of a system manifold for functional differential equations;Ait Babram;J. Math. Anal. Appl.,1997

2. Computational scheme of a center manifold for neutral functional differential equations;Ait Babram;J. Math. Anal. Appl.,2001

3. Poincaré procedure for an ordinary differential system perturbed by a functional term;Arino;J. Different. Eqs. Dynam. Syst.,1994

4. Quasi-invariant manifolds stability and generalized Hopf bifurcation;Bernfeld;Ann. Math. Pura Appl.,1982

5. Generalized Hopf bifurcation and h-asymptotic stability;Bernfeld;J. Nonlinear Anal. TMA,1980

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