Modulated nerve impulse solution of memristive photosensitive neural networks

In this paper, a clear analytical approach is performed to show the emergence and propagation of traveling modulated nerve impulse signal in a network of meristive photosensitive neural networks. By transforming the model equation into a wave equation, we deduce the conditions permitting us to describe explicitly the exact nature of the nerve impulse propagating in the network via the reductive perturbation approach in the semi-discrete approximation limit. The result shows that the dynamics of the information signal could be modeled by the coupled complex Ginzburg-Landau equation with breathing solitonic solutions. The impact of the series expansion parameter on the propagating nerve impulse signal are presented and discussed. Breathing solitonic nerve impulse is confirmed as one of the precursors of information transport mode in neural networks.