3 citations · 4 across the 3 of their papers we have counts for
5 papers
Validated error bounds for pseudospectral approximation of delay differential equations: unstable manifolds
Shane Kepley, Babette A. J. de Wolff
Pseudospectral approximation provides a means to approximate the dynamics of delay differential equations (DDE) by ordinary differential equations (ODE). This article develops a co…
Higher-order phase reduction captures delay-dependent synchronization phenomena in physical oscillator networks
Babette A. J. de Wolff, Sagnik Chakraborty, István Z. Kiss +2
Coupled oscillators with time-delayed network interactions are critical to understand synchronization phenomena in many physical systems. Phase reductions to finite-dimensional pha…
Pattern-Selective Feedback Stabilization of Ginzburg--Landau Spiral Waves
Isabelle Schneider, Babette de Wolff, Jia-Yuan Dai
The complex Ginzburg--Landau equation serves as a paradigm of pattern formation and the existence and stability properties of Ginzburg--Landau -armed spiral waves have been inve…
Pseudospectral approximation of Hopf bifurcation for delay differential equations
Babette de Wolff, Francesca Scarabel, Sjoerd Verduyn Lunel +1
Pseudospectral approximation reduces DDE (delay differential equations) to ODE (ordinary differential equations). Next one can use ODE tools to perform a numerical bifurcation anal…
Control by time delayed feedback near a Hopf bifurcation point
S. Verduyn Lunel, B. de Wolff
In this paper we study the stabilization of rotating waves using time delayed feedback control. It is our aim to put some recent results in a broader context by discussing two diff…