Dynamic Behavior of Fractional Order Duffing Chaotic System and Its Synchronization Via Single Active Control

HE Gui-tian; LUO Mao-kang

doi:10.3879/j.issn.1000-0887.2012.05.003

Volume 33 Issue 5

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HE Gui-tian, LUO Mao-kang. Dynamic Behavior of Fractional Order Duffing Chaotic System and Its Synchronization Via Single Active Control[J]. Applied Mathematics and Mechanics, 2012, 33(5): 539-552. doi: 10.3879/j.issn.1000-0887.2012.05.003

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Dynamic Behavior of Fractional Order Duffing Chaotic System and Its Synchronization Via Single Active Control

doi: 10.3879/j.issn.1000-0887.2012.05.003

Department of Mathematics, Sichuan University, Chengdu 610064, P.R.China

Received Date: 2011-08-30
Rev Recd Date: 2012-02-05
Publish Date: 2012-05-15

Abstract

Abstract

Along with the deepening of research on physics and technology,dynamics of fractional order nonlinear systems and synchronization of fractional order chaotic systems focus strong attention on itself. The dynamic behavior including chaotic properties of fractional order Duffing systems was extensively investigated and,via the stability criterion of linear fractional systems,the synchronization of a fractional nonautonomous system was obtained. Especially,a kind of effective singly active control was proposed and applied to synchronize the fractional order Duffing system. The corresponding numerical results demonstrated the effectiveness of the proposed methods.
- caputo fractional derivative,
- fractional order duffing system,
- synchronization

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References

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