Dynamics analysis and control of a five-term fractional-order system
type: Item
instance of: scholarly article
title: Dynamics analysis and control of a five-term fractional-order system
zbMATH Open document ID: 1417.34026
DOI: 10.1155/2018/8284121
author: Lixin Yang
author: A. Q. Khan
author: Xiaojun Liu
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-20T00:00:00Z
review text: Summary: This paper proposes a new fractional-order chaotic system with five terms. Firstly, basic dynamical properties of the fractional-order system are investigated in terms of the stability of equilibrium points, Jacobian matrices theoretically. Furthermore, rich dynamics with interesting characteristics are demonstrated by phase portraits, bifurcation diagrams numerically. Besides, the control problem of the new fractional-order system is discussed via numerical simulations. Our results demonstrate that the new fractional-order system has compound structure.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34H10
zbMATH DE Number: 7026698
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/8284121
OpenAlex ID: W2897463293
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description: scientific article; zbMATH DE number 7026698