The basin of attraction of the Chen attractor

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

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Original languageEnglish
Pages (from-to)1696-1703
Journal / PublicationChaos, Solitons and Fractals
Volume34
Issue number5
Publication statusPublished - Dec 2007

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DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-34250164200&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(fa6def6b-7bbc-4ee7-b1dd-c4d53c15f714).html

Abstract

By geometric analysis, we discuss the riddled property of the basin of attraction of the Chen attractor based on Milnor's definition, and prove that any neighborhood of the Chen attractor contains repelled sets with positive Lebesque measures. Our analytic and numerical results show that the Chen attractor indeed has some unusual properties leading to a "strange attractor" in the sense of Milnor. © 2006 Elsevier Ltd. All rights reserved.

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100
Attractor Mathematics
65
Basin of attraction Mathematics
36
Geometric analysis Mathematics
34
Strange attractor Mathematics
18
Numerical results Mathematics
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The basin of attraction of the Chen attractor. / Liu, Zengrong; Li, Ying; Chen, Guanrong.

In: Chaos, Solitons and Fractals, Vol. 34, No. 5, 12.2007, p. 1696-1703.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review