One Specific State Variable for a Class of Fractional-Order Chaotic Systems and Its Applications

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 thi...

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Veröffentlicht in:Chinese physics letters 2009-12, Vol.26 (12), p.52-55, Article 120503
1. Verfasser: 周平 程元明
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/26/12/120503