Quenching, aging, and reviving in coupled dynamical networks
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 …
functional evolution for a wide class of natural and man-made systems. The emergence of …
Quantifying neural oscillatory synchronization: a comparison between spectral coherence and phase-locking value approaches
Synchronization or phase-locking between oscillating neuronal groups is considered to be
important for coordination of information among cortical networks. Spectral coherence is a …
important for coordination of information among cortical networks. Spectral coherence is a …
Transition from amplitude to oscillation death via Turing bifurcation
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 …
types: amplitude death (AD) and oscillation death (OD). We demonstrate that both AD and …
Partial time-delay coupling enlarges death island of coupled oscillators
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 …
system's dynamics and realizing certain system's functions. In this work, we propose a …
Stable and transient multicluster oscillation death in nonlocally coupled networks
In a network of nonlocally coupled Stuart-Landau oscillators with symmetry-breaking
coupling, we study numerically, and explain analytically, a family of inhomogeneous steady …
coupling, we study numerically, and explain analytically, a family of inhomogeneous steady …
Time delay control of symmetry-breaking primary and secondary oscillation death
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 …
symmetry breaking, can be controlled by introducing time-delayed coupling. In particular, we …
Transition from amplitude to oscillation death in a network of oscillators
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 …
states (IHSSs) in a network of globally coupled identical oscillators. We perturb a …
Turing-like instabilities from a limit cycle
The Turing instability is a paradigmatic route to pattern formation in reaction-diffusion
systems. Following a diffusion-driven instability, homogeneous fixed points can become …
systems. Following a diffusion-driven instability, homogeneous fixed points can become …
Eliminating delay-induced oscillation death by gradient coupling
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 …
coupled oscillators. We find that the gradient coupling monotonically reduces the domain of …
Emergence of amplitude and oscillation death in identical coupled oscillators
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 …
(OD) in a system of identical coupled paradigmatic Stuart-Landau oscillators. A nonscalar …