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2002•International Journal of Bifurcation and ChaosRequires access

BRIDGE THE GAP BETWEEN THE LORENZ SYSTEM AND THE CHEN SYSTEM

Jinhu Lü, Guanrong Chen, Daizhan Cheng, Sergej Čelikovský

Open publisher page 867 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.

About this research paper

What this paper is about

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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OpenAlex reports 867 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Chen, Lorenz system, Chaotic, Bridge (graph theory), Key (lock), Butterfly effect, Spectrum (functional analysis), Chaotic systems

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