Spontaneous structure formation in a network of dynamic elements.

To discover the generic behaviors of dynamic networks, we study a coupled map system with variable coupling strength. It is found that this system spontaneously forms various types of network structure according to the parameter values. Depending on the synchronized or desynchronized motion of unit dynamics, the network structure can be either static or dynamic. The separation of units into two groups, one composed of units with a large number of outgoing connections and the other units with little outgoing connections, is observed in dynamic structure. It is revealed that the mechanism for such separation is a positive feedback between unit and connection dynamics.