Rhythmic behavior represents one of the most striking and ubiquitous manifestations of
functional evolution for a wide class of natural and man-made systems. The emergence of …

Oscillation quenching constitutes a fundamental emergent phenomenon in systems of
coupled nonlinear oscillators. Its importance for various natural and man-made systems …

A modern introduction to synchronization phenomena, this text presents recent discoveries
and the current state of research in the field, from low-dimensional systems to complex …

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

The dynamical systems found in nature are rarely isolated. Instead they interact and
influence each other. The coupling functions that connect them contain detailed information …

Oscillatory behaviour is essential for proper functioning of various physical and biological
processes. However, diffusive coupling is capable of suppressing intrinsic oscillations due to …

In nonlinear dynamics, a parameter drift can lead to a sudden and complete cessation of the
oscillations of the state variables—the phenomenon of amplitude death. The underlying …

Plankton-fish interactions are the central topic of interest related to marine ecology. Apart
from the direct predation (lethal effect) of zooplankton by fish, there are some non-lethal …

We study the transition from the amplitude death (AD) to the oscillation death (OD) state in
limit-cycle oscillators coupled through mean-field diffusion. We show that this coupling …

A death of oscillation is reported in a network of coupled synchronized oscillators in the
presence of additional repulsive coupling. The repulsive link evolves as an averaging effect …