We investigate solitary states in a two-layer multiplex network of FitzHugh-Nagumo neurons
in the oscillatory regime. We demonstrate how solitary states can be induced in a multiplex …

We discover the mechanisms of emergence and the link between two types of symmetry-
broken states, the unbalanced periodic two-cluster states and solitary states, in coupled …

We consider a two-dimensional array of heterogeneous nonlocally coupled phase
oscillators on a flat torus and study the bound states of two counter-rotating spiral chimeras …

Dynamical stability of the synchronous regime remains a challenging problem for secure
functioning of power grids. Based on the symmetric circular model [Hellmann et al., Nat …

Spiral wave chimeras (SWCs), which combine the features of spiral waves and chimera
states, are a new type of dynamical patterns emerged in spatiotemporal systems due to the …

One of the pillars of modern science is the concept of symmetries. Spontaneously breaking
such symmetries gives rise to non-trivial states, which can explain a variety of phenomena …

We report the emergence of peculiar chimera states in networks of identical pendula with
global phase-lagged coupling. The states reported include both rotating and quiescent …

We demonstrate that chimera behavior can be observed in ensembles of phase oscillators
with unidirectional coupling. For a small network consisting of only three identical oscillators …

We report the appearance of a scroll ring and scroll toroid chimera states from the proposed
initial conditions for the Kuramoto model of coupled phase oscillators in the 3D grid topology …

This edition is one of two special issues dedicated to Tomasz Kapitaniak on the occasion of
his 60th birthday in recognition of his outstanding contributions in Nonlinear Science and …