Neuronal networks, similar to many other complex systems, self-organize into fascinating
emergent states that are not only visually compelling, but also vital for the proper functioning …

Cilia and flagella are fundamental units of motion in cellular biology. These beating, hair-like
organelles share a common basic structure but maintain widely varying functions in systems …

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 …

Time-delayed optoelectronic oscillators are at the center of a large body of scientific
literature. The complex behavior of these nonlinear oscillators has been thoroughly explored …

Synchronization phenomena represent one of the central issues in the modern research, in
particular, on nonlinear dynamics, network science, and statistical physics with applications …

Macroscale analogues,–of microscopic spin systems offer direct insights into fundamental
physical principles, thereby advancing our understanding of synchronization phenomena …

Topological defects determine the structure and function of physical and biological matter
over a wide range of scales, from the turbulent vortices in planetary atmospheres, oceans or …

The slime mould Physarum polycephalum, an aneural organism, uses information from
previous experiences to adjust its behaviour, but the mechanisms by which this is …

Fully and partially synchronized brain activity plays a key role in normal cognition and in
some neurological disorders, such as epilepsy. However, the mechanism by which …

The theory of spiral waves in excitable media is considered an important topic in several
dynamical systems. They have been observed in various physicochemical and biological …