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Dynamic Analysis and Circuit Implementation of a New 4D Lorenz-Type Hyperchaotic System

Author

Listed:
  • A. Al-khedhairi
  • A. Elsonbaty
  • A. H. Abdel Kader
  • A. A. Elsadany

Abstract

This paper attempts to further extend the results of dynamical analysis carried out on a recent 4D Lorenz-type hyperchaotic system while exploring new analytical results concerns its local and global dynamics. In particular, the equilibrium points of the system along with solution’s continuous dependence on initial conditions are examined. Then, a detailed symmetrical Bogdanov-Takens bifurcation analysis of the hyperchaotic system is performed. Also, the possible first integrals and global invariant surfaces which exist in system’s phase space are analytically found. Theoretical results reveal the rich dynamics and the complexity of system behavior. Finally, numerical simulations and a proposed circuit implementation of the hyperchaotic system are provided to validate the present analytical study of the system.

Suggested Citation

  • A. Al-khedhairi & A. Elsonbaty & A. H. Abdel Kader & A. A. Elsadany, 2019. "Dynamic Analysis and Circuit Implementation of a New 4D Lorenz-Type Hyperchaotic System," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-17, February.
    • Handle: RePEc:hin:jnlmpe:6581586
    DOI: 10.1155/2019/6581586
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