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A Novel 5D Chaotic System with Extreme Multi-stability and a Line of Equilibrium and Its Engineering Applications: Circuit Design and FPGA Implementation

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Iranian Journal of Science and Technology, Transactions of Electrical Engineering Aims and scope Submit manuscript

Abstract

Extreme multi-stability is a newly introduced property observed in nonlinear dynamical systems. Such systems have very rich dynamical solutions depending on both parameters and initial conditions. On the other hand, designing dynamical systems with special features related to their equilibria is of great interest. In this paper, a novel chaotic system with extreme multi-stability and a line of equilibrium is presented. Such systems are so infrequent. It also should be noted that this designed chaotic system belongs to the category of dynamical systems with hidden attractors. Complete dynamical properties of this new system are investigated. Also, by the assistance of FPGA and electronic circuit implementation, this system is implemented.

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Author information

Authors and Affiliations

  1. Department of Biomedical Engineering, Amirkabir University of Technology, 424 Hafez Ave., Tehran, 15875-4413, Iran

    Atefeh Ahmadi

  2. Center for Nonlinear Dynamics, College of Engineering, Defence University, Bishoftu, Ethiopia

    Karthikeyan Rajagopal

  3. Institute of Energy, Mekelle University, Mekelle, Ethiopia

    Karthikeyan Rajagopal

  4. Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Fuad E. Alsaadi

  5. Nonlinear Systems and Applications, Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Viet-Thanh Pham & Sajad Jafari

  6. Department of Information Technology, Faculty of Computing and IT, King Abdulaziz University, Jeddah, Saudi Arabia

    Fawaz E. Alsaadi

Authors
  1. Atefeh Ahmadi
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  2. Karthikeyan Rajagopal
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  3. Fuad E. Alsaadi
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  4. Viet-Thanh Pham
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  5. Fawaz E. Alsaadi
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  6. Sajad Jafari
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Corresponding author

Correspondence to Viet-Thanh Pham.

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Ahmadi, A., Rajagopal, K., Alsaadi, F.E. et al. A Novel 5D Chaotic System with Extreme Multi-stability and a Line of Equilibrium and Its Engineering Applications: Circuit Design and FPGA Implementation. Iran J Sci Technol Trans Electr Eng 44, 59–67 (2020). https://doi.org/10.1007/s40998-019-00223-5

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  • DOI: https://doi.org/10.1007/s40998-019-00223-5

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