Complex networks have attracted increasing attention from various fields of science and engineering today. Due to the finite speeds of transmission and spreading as well as traffic congestions, a signal or influence travelling through a complex network often is associated with time delays, and...

The dynamics of fractional-order systems have attracted increasing attentions in recent years. In this paper, we numerically study the chaotic behaviors in the fractional-order Rössler equations. We found that chaotic behaviors exist in the fractional-order Rössler equation with orders less...

Small-world networks are highly clustered networks with small average distance among the vertices. There are many natural and technological networks that present this kind of connections. We study the phase synchronization of small-world chaotic oscillator networks in this paper. We find that...

Many social and biological networks consist of communities–groups of nodes within which links are dense but among which links are sparse. It turns out that most of these networks are best described by weighted networks, whose properties and dynamics depend not only on their structures but also...

Functional networks are a recently introduced extension of neural networks, which deal with general functional models instead of sigmoidal-like ones. In this paper, we propose complex functional networks, whose inputs, outputs, neural functions and arguments are all complex-valued. The general...

In this paper, we analyze statistical properties of English and Chinese written human language within the framework of weighted complex networks. The two language networks are based on an English novel and a Chinese biography, respectively, and both of the networks are constructed in the same...

We study the synchronization of coupled map lattices with small-world interactions and coupling delays in this paper. A stability criterion for the synchronized state is derived. Numerical examples are presented to demonstrate the correctness of our theoretical result.

In this paper, we investigate synchronization in oscillator networks with small-world (SW) interactions and coupling delays. We derive a stability criterion for the network synchronized state. We show that the stability of the synchronized state is independent of the network topology, that is,...

In this paper, we study the memory representation of morph patterns in an attractor neural network model. Since recent studies indicate that biological neural networks exhibit the so-called small-world effect, we study here how the small-world connection topology affects the dynamics of memory...