4 papers · 1 filter
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 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…