A specific state variable for a class of 3D continuous fractional-order chaotic systems

doi:10.1088/1674-1056/19/7/070507

Abstract A specific state variable in a class of 3D continuous fractional-order chaotic systems is presented. All state variables of fractional-order chaotic systems of this class can be obtained via a specific state variable and its (q-order and 2q-order) time derivatives. This idea is demonstrated by using several well-known fractional-order chaotic systems. Finally, a synchronization scheme is investigated for this fractional-order chaotic system via a specific state variable and its (q-order and 2q-order) time derivatives. Some examples are used to illustrate the effectiveness of the proposed synchronization method.

Keywords: fractional-order chaotic systems state variable q-order and 2q-order time derivatives chaotic synchronization

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PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	05.45.Pq	(Numerical simulations of chaotic systems)
	02.30.Hq	(Ordinary differential equations)

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Zhou Ping(周平), Cheng Yuan-Ming(程元明), and Kuang Fei(邝菲) A specific state variable for a class of 3D continuous fractional-order chaotic systems 2010 Chin. Phys. B 19 070507

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A specific state variable for a class of 3D continuous fractional-order chaotic systems

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