Abstract
This research explores the complex dynamics of an 8D hyperchaotic system, focusing on its trajectory stability and behavior under various control parameters. By using numerical simulations, we investigate the relationship between the Lyapunov components and the stability of the system. It provides a quantitative measure of the chaos within the model of the matrix, whose derivation consists of the system's sensitivity to perturbation, simulating chaotic systems in high dimensions faces challenges such as high computational resource demands. Difficulty in ensuring numerical convergence and stability. The results highlight the profound impact of control parameters on the dynamic behavior of hyperchaotic systems. It shows how small changes can lead to very different results. This research contributes to the understanding of high-dimensional chaotic systems. with potential applications in various fields such as secure communication complex system Dynamic control analysis and strategy.
Recommended Citation
Hamad, Abdulsattar Abdullah; Ali, Nida Muhsin; and Khalil, Muayyad Mahmood
(2025)
"Dynamics and Stability Analysis of 8-Dimensional Hyperchaotic Systems: Study of Lyapunov Exponents,"
Iraqi Journal for Computer Science and Mathematics: Vol. 6:
Iss.
3, Article 18.
DOI: https://doi.org/10.52866/2788-7421.1295
Available at:
https://ijcsm.researchcommons.org/ijcsm/vol6/iss3/18
