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Self-Excited and Hidden Chaotic Attractors in Matouk’s Hyperchaotic Systems

Author

Listed:
  • A. Othman Almatroud
  • A. E. Matouk
  • Wael W. Mohammed
  • Naveed Iqbal
  • Saleh Alshammari
  • Rigoberto Medina

Abstract

Self-excited and hidden chaotic attractors are interesting complex dynamical phenomena. Here, Matouk’s hyperchaotic systems are shown to have self-excited and hidden chaotic attractors, respectively. Two case studies of hidden chaotic attractors are provided which are examined with orders 3.08 and 3.992, respectively. Moreover, self-excited chaotic attractors are found in the fractional-order system and its integer-order counterpart. The existence of one-eyed face self-excited chaotic attractors is also reported in this work. Our results show that the fractional derivative affects the appearances of hidden chaotic attractors in this system.

Suggested Citation

  • A. Othman Almatroud & A. E. Matouk & Wael W. Mohammed & Naveed Iqbal & Saleh Alshammari & Rigoberto Medina, 2022. "Self-Excited and Hidden Chaotic Attractors in Matouk’s Hyperchaotic Systems," Discrete Dynamics in Nature and Society, Hindawi, vol. 2022, pages 1-14, March.
    • Handle: RePEc:hin:jnddns:6458027
    DOI: 10.1155/2022/6458027
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    Cited by:

    1. A. E. Matouk & T. N. Abdelhameed & D. K. Almutairi & M. A. Abdelkawy & M. A. E. Herzallah, 2023. "Existence of Self-Excited and Hidden Attractors in the Modified Autonomous Van Der Pol-Duffing Systems," Mathematics, MDPI, vol. 11(3), pages 1-13, January.

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