138 citations · 426 across the 13 of their papers we have counts for
13 papers
Square Waves and Bykov T-points in a Delay Algebraic Model for the Kerr-Gires-Tournois Interferometer
Mina Stöhr, Elias R. Koch, Julien Javaloyes +2
We study theoretically the mechanisms of square wave formation of a vertically emitting micro-cavity operated in the Gires-Tournois regime that contains a Kerr medium and that is s…
Time-reversible dynamics in a system of two coupled active rotators
Oleksandr Burylko, Matthias Wolfrum, Serhiy Yanchuk +1
We study two coupled active rotators with Kuramoto-type coupling and focus our attention to specific transitional regimes where the coupling is neither attractive nor repulsive. We…
Solitary routes to chimera states
Leonhard Schülen, Alexander Gerdes, Matthias Wolfrum +1
We show how solitary states in a system of globally coupled FitzHugh-Nagumo oscillators can lead to the emergence of chimera states. By a numerical bifurcation analysis of a suitab…
Bumps, chimera states, and Turing patterns in systems of coupled active rotators
Igor Franović, Oleh E. Omel'chenko, Matthias Wolfrum
Self-organized coherence-incoherence patterns, called chimera states, have first been reported in systems of Kuramoto oscillators. For coupled excitable units similar patterns, whe…
Absolute stability and absolute hyperbolicity in systems with discrete time-delays
Serhiy Yanchuk, Matthias Wolfrum, Tiago Pereira +1
An equilibrium of a delay differential equation (DDE) is absolutely stable, if it is locally asymptotically stable for all delays. We present criteria for absolute stability of DDE…
Dynamics of a stochastic excitable system with slowly adapting feedback
Igor Franović, Serhiy Yanchuk, Sebastian Eydam +2
We study an excitable active rotator with slowly adapting nonlinear feedback and noise. Depending on the adaptation and the noise level, this system may display noise-induced spiki…