THERMAL SCIENCE

International Scientific Journal

Jiangang Zhang

,

Lixiang Wei

,

Xinlei An

,

Mengran Nan

NON-CHAOS-MEDIATED MIXED-MODE OSCILLATIONS IN AN EXTENDED HINDMARSH-ROSE NEURONAL OSCILLATOR WITH TIME DELAY

ABSTRACT
This paper proposes an extended neuron model with time delay. It aims to investigate the effect of time delay on the dynamical behavior of the system under different conditions. The existence of the Hopf bifurcation of the system and the stability of its periodic solution are proved by the central manifold theorem. Numerical results show that the system has abundant dynamical performance, including chaos, period-adding, and intermittent chaos.
KEYWORDS
time delay, Hopf bifurcation, mixed-mode oscillations, two-parameter characteristics
PAPER SUBMITTED: 2020-11-20
PAPER REVISED: 2021-10-01
PAPER ACCEPTED: 2021-10-01
PUBLISHED ONLINE: 2022-07-16
DOI REFERENCE: https://doi.org/10.2298/TSCI2203427Z
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Issue 3, PAGES [2427 - 2438]
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Non-chaos-mediated mixed-mode oscillations in an extended Hindmarsh-Rose neuronal oscillator with time delay

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence