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Li, Chunguang; Chen, Guanrong

Chaos in the fractional order Chen system and its control. (English) Zbl 1069.37025

Chaos Solitons Fractals 22, No. 3, 549-554 (2004).
Summary: We study the chaotic behavior in the fractional order Chen system. We show that chaos exists in the fractional order Chen system with order less than 3. The lowest order we found to have chaos in this system is 2,1. Linear feedback control of chaos in this system is also studied.

Cited in 172 Documents

MSC:

37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
26A33 Fractional derivatives and integrals
93B52 Feedback control

Keywords:

fractional order dynamics; chaotic behaviors; Chen system; chaos control

Software:

Sprott's Software
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\textit{C. Li} and \textit{G. Chen}, Chaos Solitons Fractals 22, No. 3, 549--554 (2004; Zbl 1069.37025)
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References:

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