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Dynamic Analysis of a Fractional Map with Hidden Attractor

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Proceedings of the International Conference on Artificial Intelligence and Computer Vision (AICV2020) (AICV 2020)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1153))

Abstract

In this paper, a novel three dimensional fractional-order map is proposed. This fractional map has no fixed point, but it can also exhibit rich and complex dynamical behavior. The dynamical properties of the new model are investigated by applying numerical tools such as bifurcation diagram, maximum Lyapunov exponent, phase portraits, and evolution of states. It shows that the fractional order map is more complex when the fractional order is small.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Computer Sciences, University of Larbi Ben M’hidi, Oum El Bouaghi, Algeria

    Amina Aicha Khennaoui

  2. LAMIS Laboratory, Department of Mathematics, University of Larbi Tebessi, 12002, Tebessa, Algeria

    Adel Ouannas

  3. Dipartimento Ingegneria Innovazione, Università del Salento, 73100, Lecce, Italy

    Giuseppe Grassi

  4. Robotics and Internet-of-Things Lab (RIOTU), Prince Sultan University, Riyadh, Saudi Arabia

    Ahmad Taher Azar

  5. Faculty of Computers and Artificial Intelligence, Benha University, Benha, Egypt

    Ahmad Taher Azar

Authors
  1. Amina Aicha Khennaoui
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  2. Adel Ouannas
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  3. Giuseppe Grassi
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  4. Ahmad Taher Azar
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Corresponding author

Correspondence to Ahmad Taher Azar .

Editor information

Editors and Affiliations

  1. Information Technology Department, Cairo University, Faculty of Computers and Information, Giza, Egypt

    Aboul-Ella Hassanien

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

    Ahmad Taher Azar

  3. Faculty of Computers and Information, Suez Canal University, Ismailia, Egypt

    Tarek Gaber

  4. Departamento de Ciencias Computacionales, Universidad de Guadalajara, CUCEI, Guadajalara, Jalisco, Mexico

    Diego Oliva

  5. Faculty of Computer and Information Sciences, Ain Shams University, Cairo, Egypt

    Fahmy M. Tolba

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Khennaoui, A.A., Ouannas, A., Grassi, G., Azar, A.T. (2020). Dynamic Analysis of a Fractional Map with Hidden Attractor. In: Hassanien, AE., Azar, A., Gaber, T., Oliva, D., Tolba, F. (eds) Proceedings of the International Conference on Artificial Intelligence and Computer Vision (AICV2020). AICV 2020. Advances in Intelligent Systems and Computing, vol 1153. Springer, Cham. https://doi.org/10.1007/978-3-030-44289-7_68

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