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The synchronization of a fractional order hyperchaotic system based on passive control |
Wu Chao-Jun(吴朝俊)a)b)† , Zhang Yan-Bin(张彦斌)a)b), and Yang Ning-Ning(杨宁宁) a)b) |
a State Key Laboratory of Electrical Insulation and Power Equipment, Xi'an 710049, China; b School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China |
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Abstract This paper investigates the synchronization of a fractional order hyperchaotic system using passive control. A passive controller is designed, based on the properties of a passive system. Then the synchronization between two fractional order hyperchaotic systems under different initial conditions is realized, on the basis of the stability theorem for fractional order systems. Numerical simulations and circuitry simulations are presented to verify the analytical results.
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Received: 23 November 2010
Revised: 16 January 2011
Accepted manuscript online:
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PACS:
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05.45.Xt
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(Synchronization; coupled oscillators)
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05.45.Pq
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(Numerical simulations of chaotic systems)
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Cite this article:
Wu Chao-Jun(吴朝俊), Zhang Yan-Bin(张彦斌), and Yang Ning-Ning(杨宁宁) The synchronization of a fractional order hyperchaotic system based on passive control 2011 Chin. Phys. B 20 060505
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