7 citations · 9 across the 5 of their papers we have counts for
5 papers
Characteristic Operators and Spectral Properties of Periodic Evolutionary Systems
Bram Lentjes, Babette A. J. de Wolff
In this paper, we introduce the notion of a characteristic operator for closable linear operators and explore their connected spectral properties via equivalence. Additionally, we…
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…
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 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…
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…