4.5 Article

Bridge the gap between the Lorenz system and the Chen system

Journal

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 12, Issue 12, Pages 2917-2926

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S021812740200631X

Keywords

Lorenz system; Chen system; critical system; a unified chaotic system

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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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