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A novel fractional-order chaotic system with specific topology: from proposing to FPGA implementation

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Abstract

Designing and analyzing new nonlinear dynamic systems have gotten much interest and effort among scientist recently. Between these approaches, chaotic and fractional-order systems have specific position as they can describe real phenomenon more accurate than the classical methods. In this article, a new chaotic system with specific topological properties has been introduced and also fractional version of this chaotic system has been developed. Different analytical methods like statistical, bifurcation and bicoherence analyses have been done to show properties of the proposed system. Field programmable gate arrays (FPGAs) implementation of chaotic and fractional-order system is another new topic which have been done in this article to show the feasibility of the proposed fractional-order system.

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Authors and Affiliations

  1. Biomedical Engineering Department, Amirkabir University of Technology, Tehran, 15875-4413, Iran

    Atiyeh Bayani & Sajad Jafari

  2. Biomedical Engineering Department, Qazvin Islamic Azad University, Qazvin, Iran

    Mohammad Ali Jafari

  3. Institute for Advanced Study, Shenzhen University, Shenzhen, Guangdong, 518060, P.R. China

    Mohammad Ali Jafari

  4. Centre for Non-Linear Dynamics, Defense University, Bishoftu, Ethiopia

    Karthikeyan Rajagopal

  5. School of Mathematics and Statistics, Yancheng Teachers University, Yancheng, 224002, P.R. China

    Haibo Jiang

Authors
  1. Atiyeh Bayani
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  2. Mohammad Ali Jafari
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  3. Karthikeyan Rajagopal
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  4. Haibo Jiang
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  5. Sajad Jafari
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Correspondence to Sajad Jafari.

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Bayani, A., Jafari, M.A., Rajagopal, K. et al. A novel fractional-order chaotic system with specific topology: from proposing to FPGA implementation. Eur. Phys. J. Spec. Top. 226, 3729–3745 (2017). https://doi.org/10.1140/epjst/e2018-00031-y

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  • DOI: https://doi.org/10.1140/epjst/e2018-00031-y

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