Theoretical analysis and circuit verification for fractional-order chaotic behavior in a new hyperchaotic system
type: Item
instance of: scholarly article
title: Theoretical analysis and circuit verification for fractional-order chaotic behavior in a new hyperchaotic system
zbMATH Open document ID: 1407.37050
DOI: 10.1155/2014/682408
author: Ling Liu
author: Chongxin Liu
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: A novel nonlinear four-dimensional hyperchaotic system and its fractional-order form are presented. Some dynamical behaviors of this system are further investigated, including Poincaré mapping, parameter phase portraits, equilibrium points, bifurcations, and calculated Lyapunov exponents. A simple fourth-channel block circuit diagram is designed for generating strange attractors of this dynamical system. Specifically, a novel network module fractance is introduced to achieve fractional-order circuit diagram for hardware implementation of the fractional attractors of this nonlinear hyperchaotic system with order as low as 0.9. Observation results have been observed by using oscilloscope which demonstrate that the fractional-order nonlinear hyperchaotic attractors exist indeed in this new system.
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 34C28
zbMATH DE Number: 7017006
Wikidata QID: Q59068889
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/682408
OpenAlex ID: W1970995876
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description: scientific article; zbMATH DE number 7017006