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...

This paper is mainly concerned with coupled map lattice (CML) of the formxm+1,n=(1-ε)f(xm,n)+0.5ε{f(xm,n-1)+f(xm,n+1)},where f:R→R is a function and m∈N0={0,1,…} and n∈Z={…,-1,0,1,…}. A new definition of chaos in discrete spatiotemporal systems in the sense of Li–Yorke is given...

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...

In this paper, the dynamical behaviors of a class of weighted local-world evolving networks with aging nodes are investigated. As the network grows, each newly added node is connected to some existing nodes through strength–age preferential attachment. Each time step, the newly added node with...

This paper reports a new three-dimensional continuous quadratic autonomous chaotic system, modified from the Lorenz system, in which each equation contains a single quadratic cross-product term, which is different from the Lorenz, Rössler, Chen, Lü systems. Basic properties of the new system...