44 citations · 225 across the 12 of their papers we have counts for
12 papers
Shot noise in next-generation neural mass models
Vladimir Klinshov, Sergey Kirillov
Recently, the so-called next-generation neural mass models have received a lot of attention of the researchers in the field of mathematical neuroscience. The ability of these model…
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…
Mode hopping in oscillating systems with stochastic delays
Vladimir Klinshov, Dmitry Shchapin, Otti D'Huys
We study a noisy oscillator with pulse delayed feedback, theoretically and in an electronic experimental implementation. Without noise, this system has multiple stable periodic reg…
Two Scenarios for the Onset and Suppression of Collective Oscillations in Heterogeneous Populations of Active Rotators
Vladimir Klinshov, Igor Franović
We consider the macroscopic regimes and the scenarios for the onset and the suppression of collective oscillations in a heterogeneous population of active rotators, comprised of ex…
Itinerant chimeras in an adaptive network of pulse-coupled oscillators
Dmitry Kasatkin, Vladimir Klinshov, Vladimir Nekorkin
In a network of pulse-coupled oscillators with adaptive coupling, we a dynamical regime which we call an `itinerant chimera'. Similarly as in classical chimera states, the network…
Embedding the dynamics of a single delay system into a feed-forward ring
Vladimir Klinshov, Dmitry Shchapin, Serhiy Yanchuk +3
We investigate the relation between the dynamics of a single oscillator with delayed self-feedback and a feed-forward ring of such oscillators, where each unit is coupled to its ne…