On the Bautin bifurcation for systems of delay differential equations
arXiv:1111.1559
Abstract
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.
Presented at ICTAMI 2004, Thessaloniki, Greece
Cited by in corpus (6)
- Stability of equilibrium and periodic solutions of a delay equation modeling leukemia
- Hopf points of codimension two in a delay differential equation modeling leukemia
- Bautin bifurcation in delayed reaction-diffusion systems with application to the Segel-Jackson model
- On the computation of the term of the series defining the center manifold for a scalar delay differential equation
- Numerical investigation of the Bautin bifurcation in a delay differential equation modeling leukemia
- On the computation of the third order terms of the series defining the center manifold for systems of delay differential equation