Dynamics and information modulation in the Chialvo neuron networks with fractional-order discrete memristor coupling

At present, design and dynamics analysis of neuron networks are becoming a topic worthy of further study, in which the couple controller has been widely applied. In this paper, we designed a ring coupled neuron network with Chialvo neurons and fractional-order discrete memristor coupling. Thus the input of memristor is the state variable difference of the two nearby neurons and the output become to be the control signal. According to the numerical simulations, it shows that the neuron network has rich dynamics and there exists chaos. Meanwhile, chimera states and multistatbility are found in the network. It shows that the collective behaviours are different with different initial conditions. In conclusion, it indicates that the network can store some information according to the behaviours of the network and initial conditions.