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math.DS2025
Bifurcation Analysis of Generalized Hopf Bifurcation in Ordinary and Delay Differential Equations
N. A. M. Delmeire, M. M. Bosschaert, Yu. A. Kuznetsov
The generalized Hopf (Bautin) bifurcation is a well-studied codimension two bifurcation characterized by an equilibrium with a pair of simple purely imaginary eigenvalues as the on…
math.DS2025
Numerical Periodic Normalization at Codim 1 Bifurcations of Limit Cycles in DDEs
M. M. Bosschaert, B. Lentjes, L. Spek +1
Recent work in [53, 54] by the authors on periodic center manifolds and normal forms for bifurcations of limit cycles in delay differential equations (DDEs) motivates the derivatio…
math.DS2024
Periodic Normal Forms for Bifurcations of Limit Cycles in DDEs
B. Lentjes, L. Spek, M. M. Bosschaert +1
A recent work by the authors on the existence of a periodic smooth finite-dimensional center manifold near a nonhyperbolic cycle in delay differential equations motivates the deriv…