A fractional-order chaotic system with an infinite number of equilibrium points
type: Item
instance of: scholarly article
title: A fractional-order chaotic system with an infinite number of equilibrium points
zbMATH Open document ID: 1264.65135
DOI: 10.1155/2013/910189
author: Ping Zhou
author: Kun Huang
author: Chun-De Yang
published in: Discrete Dynamics in Nature and Society
publication date: 2013-06-13T00:00:00Z
review text: Summary: A new 4D fractional-order chaotic system, which has an infinite number of equilibrium points, is introduced. There is no-chaotic behavior for its corresponded integer-order system. We obtain that the largest Lyapunov exponent of this 4D fractional-order chaotic system is 0.8939 and yield the chaotic attractor. A chaotic synchronization scheme is presented for this 4D fractional-order chaotic system. Numerical simulations is verified the effectiveness of the proposed scheme.
Mathematics Subject Classification ID: 65L99
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 37N10
Mathematics Subject Classification ID: 34H10
zbMATH DE Number: 6175135
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/910189
OpenAlex ID: W1982663353
Wikidata QID: Q58921919
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description: scientific article; zbMATH DE number 6175135