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Fractional Order Control and Synchronization of Chaotic Systems pp 581–611Cite as

A New Method to Synchronize Fractional Chaotic Systems with Different Dimensions

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Part of the book series: Studies in Computational Intelligence ((SCI,volume 688))

Abstract

By using two scaling function matrices, the synchronization problem of different dimensional fractional order chaotic systems in different dimensions is developed in this chapter. The controller is designed to assure that the synchronization of two different dimensional fractional order chaotic systems is achieved using the Lyapunov direct method. Numerical examples and computer simulations are used to validate numerically the proposed synchronization schemes.

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Authors and Affiliations

  1. Laboratory of Mathematics, Informatics and Systems (LAMIS), University of Larbi Tebessi, 12002, Tébessa, Algeria

    Adel Ouannas

  2. Department of Material Sciences, University of Tebessa, 12002, Tébessa, Algeria

    Toufik Ziar

  3. Faculty of Computers and Information, Benha University, Banha, Egypt

    Ahmad Taher Azar

  4. Nanoelectronics Integrated Systems Center (NISC), Nile University, Cairo, Egypt

    Ahmad Taher Azar

  5. Research and Development Centre, Vel Tech University Avadi, Chennai, 600062, Tamil Nadu, India

    Sundarapandian Vaidyanathan

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  1. Adel Ouannas
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  2. Toufik Ziar
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  4. Sundarapandian Vaidyanathan
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Correspondence to Ahmad Taher Azar .

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  1. Faculty of Computers and Information, Benha University Faculty of Computers and Information, AND Nanoelectronics Integrated Systems Center (NISC), Nile University, Egypt. , Benha, Egypt

    Ahmad Taher Azar

  2. Research and Development Centre, Vel Tech University Research and Development Centre, Chennai, Tamil Nadu, India

    Sundarapandian Vaidyanathan

  3. Department of Mathematics and CS, University of Tebessa Department of Mathematics and CS, Tebessa, Algeria

    Adel Ouannas

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Ouannas, A., Ziar, T., Azar, A.T., Vaidyanathan, S. (2017). A New Method to Synchronize Fractional Chaotic Systems with Different Dimensions. In: Azar, A., Vaidyanathan, S., Ouannas, A. (eds) Fractional Order Control and Synchronization of Chaotic Systems. Studies in Computational Intelligence, vol 688. Springer, Cham. https://doi.org/10.1007/978-3-319-50249-6_20

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