The emergence of chaos in complex dynamical networks

The emergence of chaos is an important issue in the study of coupled dynamical networks. In this paper, we suppose that all nodes are non-chaotic before they are coupled together, however, the chaotic state will emerge without changing each node’s parameter if these nodes are connected through a certain type of network. First we give a sufficient condition for the emergence of chaotic state, then such mergence in several types of networks are discussed. Moreover, we extend our results to a general case. Finally, we illustrate our results by some numerical examples.