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Zbl 1043.37026
Lü, Jinhu; Chen, Guanrong; Cheng, Daizhan; Celikovsky, Sergej
Bridge the gap between the Lorenz system and the Chen system. (English)
[J] Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, No. 12, 2917-2926 (2002). ISSN 0218-1274

Summary: 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.

MSC 2000:: *37D45 Strange attractors, chaotic dynamics
34C28 Other types of "recurrent" solutions of ODE
37N05 Dynamical systems in classical and celestial mechanics
70Q05 Control of mechanical systems
93B52 Feedback control

Keywords: Lorenz system; Chen system; critical system; unified chaotic system; controlling the Duffing oscillator; numerical simulations; attractors; bifurcations

Cited in: Zbl 1175.34079 Zbl 1129.37017

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