Bridge the gap between the Lorenz system and the Chen system

Bridge the gap between the Lorenz system and the Chen system
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DOI:
10.1142/s021812740200631x
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发表时间:
2002-12-01
影响因子:
2.2
通讯作者:
Celikovsky, S
Celikovsky, S
中科院分区:
数学4区
文献类型:
--
作者:
Lü, JH;Chen, GR;Celikovsky, S

文献摘要

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本文介绍了一个统一的混沌系统,它包含Lorenz和Chen系统作为两个对偶系统在其参数谱的两个极端。新系统代表了从Lorenz到Chen系统的持续过渡,并且在关键系统参数的整个频谱上是混沌的。对统一系统的动力学行为进行了较为详细的研究。
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.