Integer and fractional general \(T\)-system and its application to control chaos and synchronization
type: Item
instance of: scholarly article
title: Integer and fractional general \(T\)-system and its application to control chaos and synchronization
zbMATH Open document ID: 1433.34083
DOI: 10.1155/2015/413540
author: Mihaela Neamtu
author: Anamaria Liţoiu
author: Petru-Claudiu Străin
published in: Abstract and Applied Analysis
publication date: 2018-08-29T00:00:00Z
review text: Summary: We propose a three-dimensional autonomous nonlinear system, called the general \(T\) system, which has potential applications in secure communications and the electronic circuit. For the general \(T\) system with delayed feedback, regarding the delay as bifurcation parameter, we investigate the effect of the time delay on its dynamics. We determine conditions for the existence of the Hopf bifurcations and analyze their direction and stability. Also, the fractional order general \(T\)-system is proposed and analyzed. We provide some numerical simulations, where the chaos attractor and the dynamics of the Lyapunov coefficients are taken into consideration. The effectiveness of the chaotic control and synchronization on schemes for the new fractional order chaotic system are verified by numerical simulations.
Mathematics Subject Classification ID: 34H10
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 6929048
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/413540
OpenAlex ID: W1891676590
Wikidata QID: Q59101626
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description: scientific article; zbMATH DE number 6929048