7 citations · 12 across the 5 of their papers we have counts for
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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…
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…
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…
Periodic Center Manifolds for DDEs in the Light of Suns and Stars
B. Lentjes, L. Spek, M. M. Bosschaert +1
In this paper we prove the existence of a periodic smooth finite-dimensional center manifold near a nonhyperbolic cycle in classical delay differential equations by using the Lyapu…
Numerical Periodic Normalization for Codim 2 Bifurcations of Limit Cycles
Fabio Della Rossa, Virginie De Witte, Willy Govaerts +1
Periodic normal forms for the codim 2 bifurcations of limit cycles up to a 3-dimensional center manifold in generic autonomous ODEs and computational formulas for their coefficient…