Dynamical effects of electromagnetic flux on Chialvo neuron map: nodal and network behaviors

On the analysis of a heterogeneous coupled network of memristive Chialvo neurons.

“…The model was improved [50] to a threedimensional smooth map by the inclusion of electromagnetic flux, realized by a memristor. The improved system of equations is given by…”

“…where M (φ) = α + 3βφ 2 is the commonly used memconductance function [56] in the literature with α, β, k 1 and k 2 as the electromagnetic flux parameters. In (3), the k 1 x term denotes the membrane potential induced changes on magnetic flux and the k 2 φ term denotes the leakage of magnetic flux [50]. The parameter k denotes the electromagnetic flux coupling strength with kxM (φ) as the induction current.…”

“…Empirical evidence says that the functioning of neurons is affected by many external factors such as temperature [46], pressure [47] light [48], electromagnetic radiations [49][50][51] and many more. For example, the signature of growth in embryo neuronal cells was observed with the application of electromagnetic flux [52].…”

“…The ring-star network topology [53] serves as a promising candidate. Most recently, the dynamical effects of discrete Chialvo neuron map under the influence of electromagnetic flux have been studied [50], where after understanding a single neuron system, analysis on a ring-star network of the neurons has been conducted, making it flexible to work with all the possible scenarios of ring, star, and ring-star topologies. The network that has been mathematically set up in the work, consists of N Chialvo neurons arranged in the formation of a ring-star topology, where the central node is connected to all the N − 1 nodes with the homogeneous coupling strength µ and the peripheral nodes are connected to each of their R neighbors with a coupling strength σ.…”

“…1. Improve the ring-star topology of the Chialvo neuron network introduced in the original paper [50], by the inclusion of heterogeneous links between nodes that vary not only in space but also in time, depending on noise modulations and specific coupling probabilities, 2. Report the appearance of rich spatiotemporal patterns throughout the temporal dynamics of the heterogeneous network, 3.…”