Double Hopf bifurcation in delay differential equations

DOI10.1016/j.ajmsc.2013.10.002zbMath1323.34084OpenAlexW2054429774MaRDI QIDQ465044

Redouane Qesmi, Mohamed Ait Babram

Publication date: 31 October 2014

Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ajmsc.2013.10.002

zbMATH Keywords

delaynormal formfunctional differential equationcenter manifolddouble Hopf bifurcation

Mathematics Subject Classification ID

Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Periodic solutions to functional-differential equations (34K13) Bifurcation theory of functional-differential equations (34K18) Invariant manifolds of functional-differential equations (34K19)

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Cites Work

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• Introduction to functional differential equations
• Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
• Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
• 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