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 …

Synchronization or phase-locking between oscillating neuronal groups is considered to be
important for coordination of information among cortical networks. Spectral coherence is a …

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 …

Coupling (or connection) in complex systems is of crucial importance in determining the
system's dynamics and realizing certain system's functions. In this work, we propose a …

In a network of nonlocally coupled Stuart-Landau oscillators with symmetry-breaking
coupling, we study numerically, and explain analytically, a family of inhomogeneous steady …

We show that oscillation death as a specific type of oscillation suppression, which implies
symmetry breaking, can be controlled by introducing time-delayed coupling. In particular, we …

We report a transition from a homogeneous steady state (HSS) to inhomogeneous steady
states (IHSSs) in a network of globally coupled identical oscillators. We perturb a …

The Turing instability is a paradigmatic route to pattern formation in reaction-diffusion
systems. Following a diffusion-driven instability, homogeneous fixed points can become …

In this work, we investigate gradient coupling effect on oscillation death in a ring of N delay-
coupled oscillators. We find that the gradient coupling monotonically reduces the domain of …

We deduce rigorous conditions for the onset of amplitude death (AD) and oscillation death
(OD) in a system of identical coupled paradigmatic Stuart-Landau oscillators. A nonscalar …