NUMERICAL INVESTIGATION OF INFLUENCE OF NOISE AND FLUCTUATIONS ON THE SIGNAL GENERATION MODES IN CLUSTER OF SELF- OSCILLATING SYSTEMS

Authors

  • B. Zh. Medetov Al-Farabi Kazakh National University, Almaty, Kazakhstan
  • N. Albanbay Al-Farabi Kazakh National University, Almaty, Kazakhstan
  • A. S. Koyshigarin Al-Farabi Kazakh National University, Almaty, Kazakhstan

Abstract

The present work is devoted to the numerical study of influence of noise and fluctuations on the signal generation modes in cluster of self-oscillating systems consisting of two linearly negatively related FitzHugh-Nagumo neurons. By solving the system of differential equations describing the system, using the standard Runge-Kutta method, relation between the accuracy of integration and transition between the signal generation modes was found. It was assumed that the accuracy of the integration physically simulates noise and fluctuations. This assumption was confirmed by the numerical study of the system using Heun’s method with inclusion into the system stochastic term which modeling white Gaussian noise.

Keywords: noise and fluctuations, self-oscillating system, the neuron, Heun’s method

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Published

2021-03-01

Issue

Vol. 17 No. 1 (2015): ЖУРНАЛ ПРОБЛЕМ ЭВОЛЮЦИИ ОТКРЫТЫХ СИСТЕМ

Section

ФИЗИКА

How to Cite

NUMERICAL INVESTIGATION OF INFLUENCE OF NOISE AND FLUCTUATIONS ON THE SIGNAL GENERATION MODES IN CLUSTER OF SELF- OSCILLATING SYSTEMS. (2021). Journal of Open Systems Evolution Problems, 17(1), 54-59. https://peos.kaznu.kz/index.php/peos/article/view/83