Abstract: The Rossler chaotic system is considered as neurons,a sub network of star-shaped is firstly established. Then a composite large network is constructed by connecting the center neuron of the sub network with all-to-all-coupling connection. Using and extending the stability criterion (SC)synchronization method of two chaotic systems, theoretical research and numerical simulation are carried out for the constructed network. The system coupled equations of the network and the synchronization error development equations between the neurons in the network are provided. By controlling the dependent coupling intensity factor, the influence of parameters on network synchronization form and process are discussed in detail, and the possible chaos synchronization types and the ranges of the controlled parameter are obtained. Also, it is proved that the SC synchronization method is effectively useful to solve the chaotic synchronization problem of the composite network composed of the star-shaped and all-to-all-coupling.

Key words: Rossler system, synchronization method, chaotic synchronization, non-linear coupled function, composite neural network