Chimera states have been found in nervous systems and may play an important role in many neural processes including neuronal rhythms, sleep and memory in the brain. Considering the phenomenon of electromagnetic induction in the neuron interactions, a two-layer memristive neuronal network of locally coupled Hindmarsh-Rose neurons was established to study the spatiotemporal dynamical patterns of chimera states and the mechanisms of their generation. It is found that changing the intra- and inter-layer synaptic coupling strengths can induce several types of chimera states in networks, including traveling and imperfect traveling chimera states where the incoherent traveling domain spreads into the coherent domain of the network. In particular, a phenomenon that several neurons are in chimera states and others are in traveling chimera states is witnessed at specific coupling strengths. Moreover, it is also observed that increasing the memristive parameter can induce the neuronal network to change from chimera states to synchronous states, and the stronger the coupling strengths, the smaller the value of the memristive parameter required to reach synchronous states. Considering the inter-layer synchronization, the increase of the coupling strengths and the memristive parameter helps the network to achieve better synchronisation. The results demonstrate that the interactions between neurons on two-layer neuronal networks can stimulate a variety of patterns of chimera states, and that the effect of electromagnetic induction can facilitate the transition from chimera states to coherent states. These results are useful for understanding the complex neural firing processes and information processing mechanisms in the human brain and may provide a reference for the application of the brain-like devices.
许一凡,袁园园,韩芳,王直杰.局部耦合的双层忆阻神经元网络的嵌合态和同步[J].动力学与控制学报,2023,21(9):67~73; Xu Yifan, Yuan Yuanyuan, Han Fang, Wang Zhijie. Chemira States and Stnchronization in A TwoLayer Locally Coupled Memristive HindmarshRose Neuronal Network[J]. Journal of Dynamics and Control,2023,21(9):67-73.复制