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 …

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 …

Biological neurons and nonlinear circuits contain certain inner field energy, and an
equivalent Hamilton energy function can be obtained to discern the dependence of firing …

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 …

In this paper, we report the occurrence of chimera patterns in a network of neuronal
oscillators, which are coupled through local, synaptic gradient coupling. We discover a new …

Constant-power loads on dc microgrids create a destabilizing effect on the circuit that can
lead to severe voltage and frequency oscillations. Amplitude death is a coupling induced …

We propose a general strategy to stabilize the fixed points of nonlinear oscillators with
augmented dynamics. By using this scheme, either the unstable fixed points of the …

We study the existence of chimera states in a network of locally coupled chaotic and limit-
cycle oscillators. The necessary condition for chimera state in purely local coupled …