Synchronization transmission of spiral wave and turbulence in uncertain time-delay neuronal networks

Abstract In this paper, a new technology is proposed to research the problem of the synchronization transmission of spiral wave and turbulence between uncertain time-delay neuronal networks with different node numbers and topologies. In order to construct the Lyapunov–Krasovskii functional of the network, a special function is designed. According to our scheme, the uncertain time-delay neuronal network can transfer synchronously the spiral wave and turbulence, especially the chattering near the synchronization target can also be eliminated, which indicates that the synchronization performance of the network is more stable. At the same time, the recognition law of the network coupled matrix element is also designed to replace effectively the uncertain coupled matrix element in the network.