The basin of attraction of the Chen attractor

Zengrong Liu; Ying Li; Guanrong Chen

doi:10.1016/j.chaos.2006.05.008

The basin of attraction of the Chen attractor

Zengrong Liu, Ying Li, Guanrong Chen

Department of Electrical Engineering

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

9 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1696-1703
Journal	Chaos, Solitons and Fractals
Volume	34
Issue number	5
DOIs	https://doi.org/10.1016/j.chaos.2006.05.008
Publication status	Published - Dec 2007

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title = "The basin of attraction of the Chen attractor",

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. {\textcopyright} 2006 Elsevier Ltd. All rights reserved.",

author = "Zengrong Liu and Ying Li and Guanrong Chen",

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TY - JOUR

T1 - The basin of attraction of the Chen attractor

AU - Liu, Zengrong

AU - Li, Ying

AU - Chen, Guanrong

PY - 2007/12

Y1 - 2007/12

N2 - 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.

AB - 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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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-34250164200&origin=recordpage

U2 - 10.1016/j.chaos.2006.05.008

DO - 10.1016/j.chaos.2006.05.008

M3 - RGC 21 - Publication in refereed journal

SN - 0960-0779

VL - 34

SP - 1696

EP - 1703

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 5

ER -

The basin of attraction of the Chen attractor

Abstract

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