35 citations · 56 across the 3 of their papers we have counts for
3 papers
nlin.CD2020★ 12 cited
On the interpretation of Dirac pulses in differential equations for phase oscillators
Vladimir Klinshov, Leonhard Lücken
In this note we discuss the usage of the Dirac function in models of phase oscillators with pulsatile inputs. Many authors use a product of the delta function and the phase res…
nlin.CD2015★ 35 cited
Multistable jittering in oscillators with pulsatile delayed feedback
Vladimir Klinshov, Leonhard Lücken, Dmitry Shchapin +2
Oscillatory systems with time-delayed pulsatile feedback appear in various applied and theoretical research areas, and received a growing interest in the last years. For such syste…
math.DS2013★ 9 cited
Classification of coupled dynamical systems with multiple delays: Finding the minimal number of delays
Leonhard Lücken, Jan Philipp Pade, Kolja Knauer
In this article we study networks of coupled dynamical systems with time-delayed connections. If two such networks hold different delays on the connections it is in general possibl…