Variability and effect of noise on the corporate dynamics of coupled oscillators

Abstract

A nonlinear dynamical model of two coupled neurons based on the Rulkov map is considered. Variability analysis of corporate dynamics depending on the type of activity of separated neurons and strength of coupling is performed. Transitions between stationary, periodic, quasiperiodic, and chaotic regimes of this neuron system are studied. Additional effects of random disturbances on this system are discussed. Noise-induced transitions between periodic and chaotic stochastic oscillations are demonstrated. © 2019 Author(s).