Bipartite Synchronization for Coupled Fractional-Order Reaction-Diffusion Neural Networks With Multiple Weights.

This article deals with the bipartite synchronization in coupled fractional-order reaction-diffusion neural networks (CFRNN) with multiple state or multiple spatial diffusion couplings. A bipartite synchronization condition is derived for the multiple state CFRNN (MSCFRNN) with the help of the Lyapunov functional combined with inequality techniques, and an adaptive state-feedback control scheme is also devised to ensure the bipartite synchronization of the MSCFRNN. Similarly, several sufficient conditions are also given to guarantee the bipartite synchronization in the multiple spatial diffusion CFRNN (MSDCFRNN). Finally, the effectiveness of the devised control strategies is demonstrated through two numerical examples.