Chimera states are self-organized spatiotemporal patterns of coexisting coherence and
incoherence. We give an overview of the main mathematical methods used in studies of …

In this paper we study a chimera state in complex networks of bistable Hodgkin-Huxley
neurons with excitatory coupling, which manifests as a termination of spiking activity of a part …

We demonstrate that chimera behavior can be observed in small networks consisting of
three identical oscillators, with mutual all-to-all coupling. Three different types of chimeras …

We studied the phenomenon of chimera states in networks of non–locally coupled externally
excited oscillators. Units of the considered networks are bi–stable, having two co–existing …

In this paper we show the first broad experimental confirmation of the basin stability
approach. The basin stability is one of the sample-based approach methods for analysis of …

Nontrivial spatiotemporal patterns emerge across many systems of interacting oscillators,
still the number of experimental investigations remains relatively limited. In this paper, we …

We investigate the effects of reflecting connectivity in a network composed of FitzHugh–
Nagumo (FHN) elements linked in a ring topology. Reflecting connectivity is inspired by the …

In this paper we present how sample based analysis can complement classical methods for
analysis of dynamical systems. We describe how sample based algorithms can be utilized to …

The Brusselator has been used as a prototype model for autocatalytic reactions and, in
particular, for the Belousov–Zhabotinsky reaction. When coupled at the diffusive limit, the …

This paper studies the effects of two different types of distributed-delay coupling in the
system of two mutually coupled Kuramoto oscillators: one where the delay distribution is …