100 citations · 159 across the 3 of their papers we have counts for
7 papers
Hierarchical frequency clusters in adaptive networks of phase oscillators
Rico Berner, Jan Fialkowski, Dmitry Kasatkin +3
Adaptive dynamical networks appear in various real-word systems. One of the simplest phenomenological models for investigating basic properties of adaptive networks is the system o…
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…
Phase response curves for models of earthquake fault dynamics
Igor Franović, Srđan Kostić, Matjaz Perc +3
We systematically study effects of external perturbations on models describing earthquake fault dynamics. The latter are based on the framework of the Burridge-Knopoff spring-block…
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…
Chaotic oscillations in a map-based model of neural activity
Maurice Courbage, V. I. Nekorkin, L. V. Vdovin
We propose a discrete time dynamical system (a map) as phenomenological model of excitable and spiking-bursting neurons. The model is a discontinuous two-dimensional map. We find c…