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A new 4D chaotic system with hidden attractor and its engineering applications: Analog circuit design and field programmable gate array implementation

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Abstract

Nowadays, designing chaotic systems with hidden attractor is one of the most interesting topics in nonlinear dynamics and chaos. In this paper, a new 4D chaotic system is proposed. This new chaotic system has no equilibria, and so it belongs to the category of systems with hidden attractors. Dynamical features of this system are investigated with the help of its state-space portraits, bifurcation diagram, Lyapunov exponents diagram, and basin of attraction. Also a hardware realisation of this system is proposed by using field programmable gate arrays (FPGA). In addition, an electronic circuit design for the chaotic system is introduced.

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Authors and Affiliations

  1. Department of Electrical Engineering, Golpayegan University of Technology, Golpayegan, Iran

    Hamid Reza Abdolmohammadi

  2. Department of Mathematics, Faculty of Computer Science and Mathematics, University of Kufa, Najaf, Iraq

    Abdul Jalil M Khalaf

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

    Shirin Panahi & Sajad Jafari

  4. Department of Electrical and Communication Engineering, The Papua New Guinea University of Technology, Lae, Papua New Guinea

    Karthikeyan Rajagopal

  5. School of Electronics and Telecommunications, Hanoi University of Science and Technology, 01 Dai Co Viet, Hanoi, Vietnam

    Viet-Thanh Pham

Authors
  1. Hamid Reza Abdolmohammadi
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  2. Abdul Jalil M Khalaf
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  3. Shirin Panahi
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  4. Karthikeyan Rajagopal
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  5. Viet-Thanh Pham
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  6. Sajad Jafari
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Correspondence to Sajad Jafari.

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Abdolmohammadi, H.R., Khalaf, A.J.M., Panahi, S. et al. A new 4D chaotic system with hidden attractor and its engineering applications: Analog circuit design and field programmable gate array implementation. Pramana - J Phys 90, 70 (2018). https://doi.org/10.1007/s12043-018-1569-2

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  • DOI: https://doi.org/10.1007/s12043-018-1569-2

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