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 …

When nonlinear dynamical systems are coupled, depending on the intrinsic dynamics and
the manner in which the coupling is organized, a host of novel phenomena can arise. In this …

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 …

Coupled oscillators are shown to experience two structurally different oscillation quenching
types: amplitude death (AD) and oscillation death (OD). We demonstrate that both AD and …

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 …

We investigate the dynamical evolution of Stuart-Landau oscillators globally coupled
through conjugate or dissimilar variables on simplicial complexes. We report a first-order …

Amplitude death is the cessation of oscillations that occurs in coupled nonlinear systems
when fixed points are stabilized as a consequence of the interaction. We show here that this …