30 citations · 32 across the 3 of their papers we have counts for
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Center Manifolds and Normal Forms for Nonlinearly Periodically Forced DDEs
Bram Lentjes, Seppe Daniëls, Meinder Follon +1
The aim of this paper is to provide an effective framework for analysing bifurcations of equilibria in nonlinearly periodically forced delay differential equations. First, we estab…
Periodic Center Manifolds for Nonhyperbolic Limit Cycles in ODEs
Bram Lentjes, Mattias Windmolders, Yuri A. Kuznetsov
In this paper, we deal with a classical object, namely, a nonhyperbolic limit cycle in a system of smooth autonomous ordinary differential equations. While the existence of a cente…
Continuation of connecting orbits in 3D-ODEs: (II) Cycle-to-cycle connections
E. J. Doedel, B. W. Kooi, Yu. A. Kuznetsov +1
In Part I of this paper we discussed new methods for the numerical continuation of point-to-cycle connecting orbits in 3-dimensional autonomous ODE's using projection boundary cond…