Dynamic behavior of fractional order Duffing chaotic system and its synchronization via singly active control |
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Authors: | Gui-tian He Mao-kang Luo |
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Affiliation: | (Department of Mathematics,Sichuan University,Chengdu 610064,P.R.China) |
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Abstract: | With the increasingly deep studies in physics and technology, the dynamics of fractional order nonlinear systems and the synchronization
of fractional order chaotic systems have become the focus in scientific research. In this paper, the dynamic behavior including
the chaotic properties of fractional order Duffing systems is extensively investigated. With the stability criterion of linear
fractional systems, the synchronization of a fractional non-autonomous system is obtained. Specifically, an effective singly
active control is proposed and used to synchronize a fractional order Duffing system. The numerical results demonstrate the
effectiveness of the proposed methods. |
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Keywords: | Caputo fractional derivative fractional order Duffing system synchronization |
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