34 citations · 75 across the 4 of their papers we have counts for
4 papers
Emergence and combinatorial accumulation of jittering regimes in spiking oscillators with delayed feedback
Vladimir Klinshov, Leonhard Luecken, Dmitry Shchapin +2
Interaction via pulses is common in many natural systems, especially neuronal. In this article we study one of the simplest possible systems with pulse interaction: a phase oscilla…
Reduction of Interaction Delays in Networks
Leonhard Lücken, Jan Philipp Pade, Kolja Knauer +1
Delayed interactions are a common property of coupled natural systems and therefore arise in a variety of different applications. For instance, signals in neural or laser networks…
Two-cluster bifurcations in systems of globally pulse-coupled oscillators
Leonhard Lücken, Serhiy Yanchuk
For a system of globally pulse-coupled phase-oscillators, we derive conditions for stability of the completely synchronous state and all possible two-cluster states and explain how…
Emergence of one- and two-cluster states in populations of globally pulse-coupled oscillators
Leonhard Lücken, Serhiy Yanchuk
The subject of this paper is a system of phase-oscillators, which are globally pulse-coupled via excitatory interaction. The appearance and stability of one- and two-cluster-states…