Pisarenko V.G., Pisarenko Y.V.
Mathematical modeling of the state of dynamic multiplicative nonlinear systems

The basic principles and approaches to mathematical modeling of conditioned reflexes in a human or animal on the basis of the developed mathematical apparatus of differential equations with a delayed argument are proposed and analyzed. This model clearly takes into account the slow interaction of a group of interconnected neurons and illustrates the dependence of the decision-making speed in real typical situations on the magnitude of the delay in the passage of a neuro signal in the CNS. The mechanism of generating a number of the so-called multilink conditioned reflexes is shown. © 2023, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords: delayed interaction of neurons, living neural network, mathematical modeling, memory mechanism, multilevel conditioned reflexes, Amines, Decision making, Neural networks, Neurophysiology, Basic principles, Decisions makings, Delayed interaction of neuron, Living neural network, Mathematical apparatus, Mathematical modeling, Memory mechanism, Multilevel conditioned reflex, Multilevels, Neural-networks, Differential equations

Cite:
Pisarenko V.G., Pisarenko Y.V. (2022). Mathematical modeling of the state of dynamic multiplicative nonlinear systems. Cybernetics and Systems Analysis, 58 (4), 117–128. doi: https://doi.org/10.1007/s10559-023-00536-8 http://jnas.nbuv.gov.ua/article/UJRN-0001335525 [In Ukrainian].