A new four-scroll chaotic attractor consisted of two-scroll transient chaotic and two-scroll ultimate chaotic
type: Item
instance of: scholarly article
title: A new four-scroll chaotic attractor consisted of two-scroll transient chaotic and two-scroll ultimate chaotic
zbMATH Open document ID: 1264.34124
DOI: 10.1155/2012/438328
author: Yuhua Xu
author: Bing Li
author: Yuling Wang
author: Wuneng Zhou
author: Jian'an Fang
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: A new four-scroll chaotic attractor is found by feedback controlling method in this paper. The novel chaotic system can generate four scrolls two of which are transient chaotic and the other two of which are ultimate chaotic. Of particular interest is that this novel chaotic system can generate one-scroll, two 2-scroll and four-scroll chaotic attractor with variation of a single parameter. We analyze the new system by means of phase portraits, Lyapunov exponents, fractional dimension, bifurcation diagram, and Poincaré map, respectively. The analysis results show clearly that this is a new chaotic system which deserves further detailed investigation.
Mathematics Subject Classification ID: 34H10
Mathematics Subject Classification ID: 34C28
zbMATH DE Number: 6173285
Wikidata QID: Q58911656
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/438328
OpenAlex ID: W2028140915
cites work: An equation for continuous chaos
cites work: YET ANOTHER CHAOTIC ATTRACTOR
cites work: A NEW CHAOTIC ATTRACTOR COINED
cites work: A new chaotic attractor
cites work: 2 × 2-SCROLL ATTRACTORS GENERATED IN A THREE-DIMENSIONAL SMOOTH AUTONOMOUS SYSTEM
cites work: GENERATING MULTISCROLL CHAOTIC ATTRACTORS: THEORIES, METHODS AND APPLICATIONS
cites work: A FOUR-WING BUTTERFLY ATTRACTOR FROM A FULLY AUTONOMOUS SYSTEM
cites work: A NEW CHAOTIC SYSTEM AND ITS GENERATION
cites work: FOUR-WING ATTRACTORS: FROM PSEUDO TO REAL
cites work: A NEW CHAOTIC SYSTEM AND BEYOND: THE GENERALIZED LORENZ-LIKE SYSTEM
cites work: A novel three-dimensional autonomous chaotic system generating two, three and four-scroll attractors
cites work: A four-wing chaotic attractor generated from a new 3-D quadratic autonomous system
cites work: On the generalized Lorenz canonical form
cites work: Determining Lyapunov exponents from a time series
description: scientific article; zbMATH DE number 6173285