A new parameter control method for S-GCM

Ishii et al.'s model, which is an improvement version of Kaneko's globally coupled map model, is called globally coupled map using the symmetric map (S-GCM). A new parameter control method for S-GCM is proposed in this paper. With the proposed method, the changes of the parameters are decided not only by the value of system partial energy, but also by the difference value of the partial energy. Both the theory analyses and computer simulation results show that the performance of S-GCM can be improved greatly by using the new parameter control method.