publication . Article . 2020

Modeling and nonlinear analysis of chaotic wave processes in electrochemically active neuronal media based on matrix decomposition

A. M. Krot; S. I. Pavlov;
Open Access
  • Published: 30 Sep 2020 Journal: Informatics, volume 17, pages 7-24 (issn: 1816-0301, eissn: 2617-6963, Copyright policy)
  • Publisher: United Institute of Informatics Problems of the National Academy of Sciences of Belarus
Abstract
<jats:p>A general model of the origin and evolution of chaotic wave processes in electrochemically active neuronal media based on the proposed method of matrix decomposition of operators of nonlinear systems has been developed. The mathematical models of Hodgkin – Huxley and FitzHugh – Nagumo of an electrochemically active neuronal media are considered. The necessary conditions for self-organization of chaotic self-oscillations in the FitzHugh – Nagumo model are determined. Computer modeling based on the matrix decomposition of chaotic wave processes in electrochemically active neuronal media has shown the interaction of higher-order nonlinear processes leading ...
Persistent Identifiers
Subjects
arXiv: Quantitative Biology::Neurons and Cognition
free text keywords: electrochemically active neuronal media, fitzhugh – nagumo model, necessary conditions for self-organization of self-oscillations, chaotic attractor, matrix series in state-space, vector-matrix model of chaotic wave processes, mode of hard self-excitation of nonlinear oscillations, stabilization of the amplitude of chaotic process, Wave processes, Chaotic, Matrix decomposition, Physics, Statistical physics, Nonlinear system, lcsh:Electronic computers. Computer science, lcsh:QA75.5-76.95
Any information missing or wrong?Report an Issue