YANG Keli1，2, QU Shixian1*
(1 School of Physics and Information Technology, Shaanxi Normal University, Xi′an 710119, Shaanxi, China;2 Institute of Physics and Optoelectronics Technology, Baoji University of Arts and Sciences, Baoji 721016, Shaanxi, China)
Abstract:
The periodic states in a system consisting of coupled tent maps with nonlocal interaction are investigated. The entropy and the synchronous order-parameters are calculated to distinguish different collective dynamical behaviors, which shows that there are two typical types of periodic state, i.e., the nonsynchronous periodic states and complete synchronization periodic states. The nonsynchronous periodic states are in coherent states which have smooth wave-like profiles. The spatial period decreases as the coupling-length decreases, and the temporal period is determined by the system parameters. When the complete synchronous periodic state happens, the dynamical states of the nodes synchronize to some unstable periodic orbits. They are different from the conventional synchronous states, where the node dynamics synchronous to a stable periodic orbit of single map. This type of synchronized states is due to the interactions among the dynamics of the nodes and it can be used to simulate the rich discharge behavior of the synapses-coupling between neurons.
KeyWords:
periodic state； entropy； synchronous； tent map
