Bridge the gap between the Lorenz system and the Chen system

Jinhu Lü; Guanrong Chen; Daizhan Cheng; Sergej Celikovsky

doi:10.1142/S021812740200631X

Bridge the gap between the Lorenz system and the Chen system

Jinhu Lü, Guanrong Chen, Daizhan Cheng, Sergej Celikovsky

Department of Electrical Engineering

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

896 Citations (Scopus)

Abstract

This paper introduces a unified chaotic system that contains the Lorenz and the Chen systems as two dual systems at the two extremes of its parameter spectrum. The new system represents the continued transition from the Lorenz to the Chen system and is chaotic over the entire spectrum of the key system parameter. Dynamical behaviors of the unified system are investigated in somewhat detail.

Original language	English
Pages (from-to)	2917-2926
Journal	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume	12
Issue number	12
DOIs	https://doi.org/10.1142/S021812740200631X
Publication status	Published - Dec 2002

Research Keywords

A unified chaotic system
Chen system
Critical system
Lorenz system

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abstract = "This paper introduces a unified chaotic system that contains the Lorenz and the Chen systems as two dual systems at the two extremes of its parameter spectrum. The new system represents the continued transition from the Lorenz to the Chen system and is chaotic over the entire spectrum of the key system parameter. Dynamical behaviors of the unified system are investigated in somewhat detail.",

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AU - Chen, Guanrong

AU - Cheng, Daizhan

AU - Celikovsky, Sergej

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N2 - This paper introduces a unified chaotic system that contains the Lorenz and the Chen systems as two dual systems at the two extremes of its parameter spectrum. The new system represents the continued transition from the Lorenz to the Chen system and is chaotic over the entire spectrum of the key system parameter. Dynamical behaviors of the unified system are investigated in somewhat detail.

AB - This paper introduces a unified chaotic system that contains the Lorenz and the Chen systems as two dual systems at the two extremes of its parameter spectrum. The new system represents the continued transition from the Lorenz to the Chen system and is chaotic over the entire spectrum of the key system parameter. Dynamical behaviors of the unified system are investigated in somewhat detail.

KW - A unified chaotic system

KW - Chen system

KW - Critical system

KW - Lorenz system

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M3 - RGC 21 - Publication in refereed journal

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JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

IS - 12

ER -

Bridge the gap between the Lorenz system and the Chen system

Abstract

Research Keywords

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