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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.DS2023
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…
math.DS2022
Bifurcation analysis of Bogdanov-Takens bifurcations in delay differential equations
M. M. Bosschaert, Yu. A. Kuznetsov
In this paper, we will perform the parameter-dependent center manifold reduction near the generic and transcritical codimension two Bogdanov-Takens bifurcation in classical delay d…