Dynamical variability, order-chaos transitions, and bursting Canards in the memristive Rulkov neuron model

被引：1

作者：

Bashkirtseva, I. ^{[1
]}

Ryashko, L. ^{[1
]}

机构：

[1] Ural Fed Univ, Lenina 51, Ekaterinburg 620000, Russia

来源：

CHAOS SOLITONS & FRACTALS | 2024年 / 186卷

基金：

俄罗斯科学基金会;

关键词：

Rulkov neuron; Memristor; Chaos; Bursting Canards; NETWORK;

D O I：

10.1016/j.chaos.2024.115317

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The problem of analyzing the mechanisms of variability in neural dynamics caused by memristive connections is considered. This problem is studied on the base of a neuron model combining the Rulkov map and discrete memristor. The extreme multistability of this 3D model is explained by the existence of a continuum family of invariant 2D planes. We show transformations of the system dynamics caused by an increase of the strength of magnetic induction current. Memristor-induced multistage transitions between order and chaos, resulting in formation of chaotic bursts through Canard explosion, are studied.

引用

页数：10

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