Dynamics, circuit design, and synchronization of a new chaotic system with closed curve equilibrium
type: Item
instance of: scholarly article
title: Dynamics, circuit design, and synchronization of a new chaotic system with closed curve equilibrium
zbMATH Open document ID: 1367.34048
DOI: 10.1155/2017/7138971
author: Xiong Wang
author: Viet-Thanh Pham
author: Christos Volos
published in: Complexity
publication date: 2017-08-03T00:00:00Z
review text: Summary: After the report of chaotic flows with line equilibrium, there has been much attention to systems with uncountable equilibria in the past five years. This work proposes a new system with an infinite number of equilibrium points located on a closed curve. It is worth noting that the new system generates chaotic behavior as well as hidden attractors. Dynamics of the system with closed curve equilibrium have been investigated by using phase portraits, bifurcation diagram, maximal Lyapunov exponents, and Kaplan-York dimension. In addition, we introduce an electronic implementation of the theoretical system to verify its feasibility. Antisynchronization ability of the new system with infinite equilibria is studied by applying an adaptive control. This study suggests that there exist other chaotic systems with uncountable equilibria in need of further investigation.
Mathematics Subject Classification ID: 34C28
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 93C15
zbMATH DE Number: 6755995
zbMATH Keywords: chaotic flows
zbMATH Keywords: uncountable equilibria
zbMATH Keywords: closed curve equilibrium
zbMATH Keywords: hidden attractors
zbMATH Keywords: phase portraits
zbMATH Keywords: bifurcation diagram
zbMATH Keywords: maximal Lyapunov exponents
zbMATH Keywords: Kaplan-York dimension
zbMATH Keywords: adaptive control
Wikidata QID: Q59142941
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/7138971
OpenAlex ID: W2589080220
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DBLP publication ID: journals/complexity/WangPV17
description: scientific article; zbMATH DE number 6755995