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One Specific State Variable for a Class of Fractional-Order Chaotic Systems and Its Applications |
| ZHOU Ping1,2, CHENG Yuan-Ming2 |
| 1Key Laboratory of Network Control and Intelligent Instrument of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing 4000652Institute of Applied Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065 |
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| Cite this article: |
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ZHOU Ping, CHENG Yuan-Ming 2009 Chin. Phys. Lett. 26 120503 |
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Abstract We present a specific state variable for a class of fractional-order chaotic systems. By using a specific state variable and its (q-order, 2q-order, ..., and (n-1) q-order) time derivatives, all the state variables can be obtained. Several fractional-order chaotic systems are used to demonstrate this idea. A hybrid projective synchronization scheme is presented to show its applications.
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| Keywords:
05.45.-a
05.45.Xt
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Received: 06 August 2009
Published: 27 November 2009
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| PACS: |
05.45.-a
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(Nonlinear dynamics and chaos)
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05.45.Xt
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(Synchronization; coupled oscillators)
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