Estimating the bounds for the Lorenz family of chaotic systems

Damei Li; Jun-An Lu; Xiaoqun Wu; Guanrong Chen

doi:10.1016/j.chaos.2004.05.021

Estimating the bounds for the Lorenz family of chaotic systems

Damei Li
, Jun-An Lu
, Xiaoqun Wu
, Guanrong Chen

Department of Electrical Engineering

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

153 Citations (Scopus)

Abstract

In this paper, we derive a sharper upper bound for the Lorenz system, for all the positive values of its parameters a, b and c. Comparing with the best result existing in the current literature, we fill the gap of the estimate for 0+. Furthermore, for a≥1, 1≤b

Original language	English
Pages (from-to)	529-534
Journal	Chaos, Solitons and Fractals
Volume	23
Issue number	2
DOIs	https://doi.org/10.1016/j.chaos.2004.05.021
Publication status	Published - Jan 2005

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title = "Estimating the bounds for the Lorenz family of chaotic systems",

abstract = "In this paper, we derive a sharper upper bound for the Lorenz system, for all the positive values of its parameters a, b and c. Comparing with the best result existing in the current literature, we fill the gap of the estimate for 0+. Furthermore, for a≥1, 1≤b",

author = "Damei Li and Jun-An Lu and Xiaoqun Wu and Guanrong Chen",

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AU - Li, Damei

AU - Lu, Jun-An

AU - Wu, Xiaoqun

AU - Chen, Guanrong

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N2 - In this paper, we derive a sharper upper bound for the Lorenz system, for all the positive values of its parameters a, b and c. Comparing with the best result existing in the current literature, we fill the gap of the estimate for 0+. Furthermore, for a≥1, 1≤b

AB - In this paper, we derive a sharper upper bound for the Lorenz system, for all the positive values of its parameters a, b and c. Comparing with the best result existing in the current literature, we fill the gap of the estimate for 0+. Furthermore, for a≥1, 1≤b

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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-4243055985&origin=recordpage

U2 - 10.1016/j.chaos.2004.05.021

DO - 10.1016/j.chaos.2004.05.021

M3 - RGC 21 - Publication in refereed journal

SN - 0960-0779

VL - 23

SP - 529

EP - 534

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 2

ER -

Estimating the bounds for the Lorenz family of chaotic systems

Abstract

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