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Fractional chaotic cryptovirology in blockchain - analysis and control

Author

Listed:
  • Alqarni, M.M.
  • Mahmoud, Emad E.
  • Abdel-Aty, Mahmoud
  • Abualnaja, Khadijah M.
  • Trikha, Pushali
  • Jahanzaib, Lone Seth

Abstract

The manuscript analyzes fractional order chaotic cryptovirology in blockchain using various methods in dynamics such as Lyapunov exponents, stagnation points, symmetry, bifurcation diagrams etc. The internet is the most powerful tool that has changed every aspect of living. But this internet has also become primary medium of cyber-crime. The dynamics of the modeled system for variable fractional order between 0.8 to 1 is also observed. The chaos in the studied dynamical system is controlled about its two stagnation points using SMC controllers assuming uncertainties and disturbances.

Suggested Citation

  • Alqarni, M.M. & Mahmoud, Emad E. & Abdel-Aty, Mahmoud & Abualnaja, Khadijah M. & Trikha, Pushali & Jahanzaib, Lone Seth, 2021. "Fractional chaotic cryptovirology in blockchain - analysis and control," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    • Handle: RePEc:eee:chsofr:v:148:y:2021:i:c:s096007792100343x
    DOI: 10.1016/j.chaos.2021.110989
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    References listed on IDEAS

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    1. Sajjadi, Samaneh Sadat & Baleanu, Dumitru & Jajarmi, Amin & Pirouz, Hassan Mohammadi, 2020. "A new adaptive synchronization and hyperchaos control of a biological snap oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    2. Li, Guihua & Zhen, Jin, 2005. "Global stability of an SEI epidemic model with general contact rate," Chaos, Solitons & Fractals, Elsevier, vol. 23(3), pages 997-1004.
    3. Abdel-Gawad, Hamdy I. & Baleanu, Dumitru & Abdel-Gawad, Ahmed H., 2021. "Unification of the different fractional time derivatives: An application to the epidemic-antivirus dynamical system in computer networks," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
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