The analytic criteria for the local activity theory in one-port cellular neural network (CNN) with five local state variables are presented. The application to a Hyper-chaos synchronization Chua's circuit (HCSCC) CNN with 1125 variables is studied. The bifurcation diagrams of the HCSCC CNN show that they are slightly different from the smoothed CNN with one or two ports and four state variables calculated earlier. The evolution of the patterns of the state variables of the HCSCC CNN is stimulated. Oscillatory patterns, chaotic patterns, convergent or divergent patterns may emerge if the selected cell parameters are located in the locally active domains but nearby or in the edge of chaos domain.
Lequan Min and Xisong DongApplied Science School, University of Science and Technology Beijing, Beijing 100083, China
Presents analytic criteria for the local activity theory in two-port cellular neural network (CNN) cells with four local state vari- ables, and gives the application to a smoothed Chua’s circuit (SCC) CNN with two-port and 15 xl 5 arrays. The bifurcation diagrams of the SCC CNN show that they are completely the same as those of an 5CC CNN with one-port calculated earlier, which do not exist locally passive domain. The evolution of the patterns of the state variables of the 5CC CNN is stimulated. Oscillatory patterns, chaotic patterns, or divergent patterns may emerge if the selected cell parameters are located in the locally active unstable domains but nearby the edge of chaos domain.
Na Yu, Lequan Min Applied Science School, University of Science and Technology Beijing, Beijing 100083, China E-mail: lqmin@sohu.com
