Dynamical behaviors of coupled memristor-based oscillators with identical and different nonlinearities
type: Item
instance of: scholarly article
title: Dynamical behaviors of coupled memristor-based oscillators with identical and different nonlinearities
zbMATH Open document ID: 1427.94114
DOI: 10.1155/2018/4394058
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: In this work, the interesting dynamics of coupled nonlinear memristor-based oscillators in ring configuration are explored. The mathematical models are derived to describe the possible cases of employing identical or different nonlinearities. Analytical and numerical techniques, involving perturbation methods, normal forms, phase portraits, and Lyapunov exponents are used to investigate various types of dynamical behaviors along with their stability regions in parameters space. The effects of time-delayed coupling on the proposed system are numerically studied. It is demonstrated that the coupled oscillators show rich dynamics including periodic orbits, quasiperiodicity, two-dimensional, and three-dimensional tori.
Mathematics Subject Classification ID: 94C05
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 34D06
Mathematics Subject Classification ID: 34C15
zbMATH DE Number: 7018970
author: A. Elsonbaty
author: Ahmed Abdelkhalek
author: A. Elsaid
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/4394058
OpenAlex ID: W2897574703
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Wikidata QID: Q129081104
description: scientific article; zbMATH DE number 7018970