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

^*Corresponding author for this work

CAS - Academy of Mathematics and System Sciences
City University of Hong Kong
Czech Academy of Sciences

Research output: Contribution to journal › Article › peer-review

908 Scopus citations

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
Number of pages	10
Journal	International Journal of Bifurcation and Chaos
Volume	12
Issue number	12
DOIs	https://doi.org/10.1142/S021812740200631X
State	Published - Dec 2002
Externally published	Yes

Keywords

A unified chaotic system
Chen system
Critical system
Lorenz system

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10.1142/S021812740200631X

Cite this

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title = "Bridge the gap between the Lorenz system and the Chen system",

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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author = "Jinhu L{\"u} and Guanrong Chen and Daizhan Cheng and Sergej Celikovsky",

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AU - Lü, Jinhu

AU - Chen, Guanrong

AU - Cheng, Daizhan

AU - Celikovsky, Sergej

PY - 2002/12

Y1 - 2002/12

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

UR - https://www.scopus.com/pages/publications/0036999538

U2 - 10.1142/S021812740200631X

DO - 10.1142/S021812740200631X

M3 - 文章

AN - SCOPUS:0036999538

SN - 0218-1274

VL - 12

SP - 2917

EP - 2926

JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

IS - 12

ER -

Bridge the gap between the Lorenz system and the Chen system

Abstract

Keywords

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