On the Bautin bifurcation for systems of delay differential equations

Mathematics – Dynamical Systems

Scientific paper

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Presented at ICTAMI 2004, Thessaloniki, Greece

Scientific paper

For systems of delay differential equations the Hopf bifurcation was
investigated by several authors. The problem we consider here is that of the
possibility of emergence of a codimension two bifurcation, namely the Bautin
bifurcation, for some of such systems.

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