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Proposing and Dynamical Analysis of a Hyperjerk Piecewise Linear Chaotic System with Offset Boostable Variable and Hidden Attractors

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Listed:
  • M. D. Vijayakumar
  • Sajjad Shaukat Jamal
  • Ahmed M. Ali Ali
  • Karthikeyan Rajagopal
  • Sajad Jafari
  • Iqtadar Hussain
  • Eric Campos

Abstract

Designing chaotic systems with different properties helps to increase our knowledge about real-world chaotic systems. In this article, a piecewise linear (PWL) term is employed to modify a simple chaotic system and obtain a new chaotic model. The proposed model does not have any equilibrium for different values of the control parameters. Therefore, its attractor is hidden. It is shown that the PWL term causes an offset boostable variable. This feature provides more flexibility and controllability in the designed system. Numerical analyses show that periodic and chaotic attractors coexist in some fixed values of the parameters, indicating multistability. Also, the feasibility of the system is approved by designing field programmable gate arrays (FPGA).

Suggested Citation

  • M. D. Vijayakumar & Sajjad Shaukat Jamal & Ahmed M. Ali Ali & Karthikeyan Rajagopal & Sajad Jafari & Iqtadar Hussain & Eric Campos, 2021. "Proposing and Dynamical Analysis of a Hyperjerk Piecewise Linear Chaotic System with Offset Boostable Variable and Hidden Attractors," Complexity, Hindawi, vol. 2021, pages 1-11, August.
    • Handle: RePEc:hin:complx:9037271
    DOI: 10.1155/2021/9037271
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