Hyperchaos in a conservative system with nonhyperbolic fixed points
type: Item
instance of: scholarly article
title: Hyperchaos in a conservative system with nonhyperbolic fixed points
zbMATH Open document ID: 1407.37054
DOI: 10.1155/2018/9430637
author: Ruiye Zhang
author: Ai-Guo Wu
author: Shijian Cang
author: Zenghui Wang
author: Zengqiang Chen
published in: Complexity
publication date: 2019-02-18T00:00:00Z
review text: Summary: Chaotic dynamics exists in many natural systems, such as weather and climate, and there are many applications in different disciplines. However, there are few research results about chaotic conservative systems especially the smooth hyperchaotic conservative system in both theory and application. This paper proposes a five-dimensional (5D) smooth autonomous hyperchaotic system with nonhyperbolic fixed points. Although the proposed system includes four linear terms and four quadratic terms, the new system shows complicated dynamics which has been proven by the theoretical analysis. Several notable properties related to conservative systems and the existence of perpetual points are investigated for the proposed system. Moreover, its conservative hyperchaotic behavior is illustrated by numerical techniques including phase portraits and Lyapunov exponents.
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 7024570
zbMATH Keywords: smooth hyperchaotic conservative system
zbMATH Keywords: nonhyperbolic fixed points
MaRDI profile type: Publication
Wikidata QID: Q56945222
full work available at URL: https://doi.org/10.1155/2018/9430637
OpenAlex ID: W2801285312
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description: scientific article; zbMATH DE number 7024570