Multistability or coexistence of different attractors for a given set of parameters is one of the
most exciting phenomena in dynamical systems. It can be found in different areas of science …

Complex phenomena in photonics, in particular, dynamical properties of semiconductor
lasers due to delayed coupling, are reviewed. Although considered a nuisance for a long …

The influence of bounded noise and time delay on the sub–threshold signal transmission in
FitzHugh–Nagumo neuronal networks is studied in this paper. It is found that the signal …

In this paper, we discuss recent progress in research of ensembles of mean field coupled
oscillators. Without an ambition to present a comprehensive review, we outline most …

The chapters of the book are state-of-the-art review articles and should be of interest to
graduate students and researchers; theoretical and experimental physicists, applied …

Chaotic dynamics has been reported in many physical systems and has affected almost
every field of science. Chaos involves hypersensitivity to the initial conditions of a system …

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

We demonstrate the emergence of a complex state in a homogeneous ensemble of globally
coupled identical oscillators, reminiscent of chimera states in nonlocally coupled oscillator …

We consider a discrete-time random walk where the random increment at time step t
depends on the full history of the process. We calculate exactly the mean and variance of the …

Multistability refers to the coexistence of different stable states in nonlinear dynamical
systems. This phenomenon has been observed in laboratory experiments and in nature. In …