A New 4D Hidden Hyperchaotic System with Higher Largest Lyapunov Exponent and its Synchronization

Authors

  • Saad Fawzi Al-Azzawi Department of Mathematics, College of Computer Science and Mathematics, University of Mosul, Mosul, Iraq. https://orcid.org/0000-0002-8198-8035 Author
  • Anmar M. Hasan Department of Mathematics, College of Computer Science and Mathematics, University of Mosul, Mosul, Iraq. https://orcid.org/0000-0002-2243-0963 Author

DOI:

https://doi.org/10.59543/ijmscs.v2i.8469

Keywords:

Hidden attractors, Multistability, dissipative system, hybrid projective synchronization (HPS).

Abstract

Recently, the introduction of high-dimensional systems with a larger Lyapunov exponent is very difficult
and more complex. The paper introduces a new four-dimensional hyperchaotic system with a larger Lyapunov exponent
compared with 20 works available in literature. Th proposed system will be derived from the Lorenz-like system via a state
feedback control approach and consist of eight terms only. This system lacks equilibrium points but can generate hidden
attractors. Two positive Lyapunov exponents (LE) indicating hyperchaotic behavior have been identified. The
mathematical properties of this dissipative hyperchaotic system are both theoretically and numerically presented,
encompassing Lyapunov exponents, Lyapunov dimension (Kaplan-Yorke dimension), Multistability, and Hybrid
projective synchronization (HPS). Various dynamic behavior are observed such as hyperchaotic, chaotic, chaotic 2-tours,
and periodic behaviors. The paper provides proof of the main results through theoretical analysis and numerical simulations
conducted in MATLAB V2021.

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Published

2023-11-15

How to Cite

Saad Fawzi Al-Azzawi, & Anmar M. Hasan. (2023). A New 4D Hidden Hyperchaotic System with Higher Largest Lyapunov Exponent and its Synchronization. International Journal of Mathematics, Statistics, and Computer Science, 2, 63-74. https://doi.org/10.59543/ijmscs.v2i.8469

Issue

Vol. 2 (2024)

Section

Articles

License

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