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 …

Coupled biological and chemical systems, neural networks, social interacting species, the
Internet and the World Wide Web, are only a few examples of systems composed by a large …

Synchronization processes in populations of locally interacting elements are the focus of
intense research in physical, biological, chemical, technological and social systems. The …

The study of permutation complexity can be envisioned as a new kind of symbolic dynamics
whose basic blocks are ordinal patterns, that is, permutations defined by the order relations …

In this paper, based on the invariant principle of functional differential equations, a simple,
analytical, and rigorous adaptive feedback scheme is proposed for the synchronization of …

This paper investigates exponential synchronization of coupled networks with hybrid
coupling, which is composed of constant coupling and discrete-delay coupling. There is only …

We investigate the effect of coupling delays on the synchronization properties of several
network motifs. In particular, we analyze the synchronization patterns of unidirectionally …

We consider two optimization problems on synchronization of oscillator networks:
maximization of synchronizability and minimization of synchronization cost. We first develop …

Synchronization in large laser networks with both homogeneous and heterogeneous
coupling delay times is examined. The number of synchronized clusters of lasers is …

By introducing a processing delay in the coupling, we find that it can effectively annihilate
the quenching of oscillation, amplitude death (AD), in a network of coupled oscillators by …