Study and Analysis of a New Five-Dimensional Hyper-Chaotic System
Received: 27 December 2024 | Revised: 24 January 2025 | Accepted: 31 January 2025 | Online: 3 April 2025
Corresponding author: Maryam T. M. Alghamazi
Abstract
This study presents a novel Five-Dimensional (5D) hyper-chaotic system to increase the degree of disorder in a system, which comprises 10 positive chaotic parameters as well as complex chaotic dynamic properties. The system’s basic properties and dynamic behavior are investigated based on the existence of equilibrium points, Lyapunov Exponents (LEs), chaotic attractors, dissipative properties, symmetry, waveform analysis, Kaplan-Yorke dimensions, bifurcation properties, and sensitivity to initial conditions. The new system has 5 LEs in addition to 2 points of unstable equilibrium. According to the study's findings, the Maximal positive Lyapunov Exponent (MLE) and Kaplan-Yorke estimated values are 6.85408 and 4.37292, respectively. The results show that the innovative system exhibits highly complicated, unstable, and unpredictably unstable properties.
Keywords:
hyper-chaotic, five-dimensional, sensitivity to initial conditions, unstable, Lyapunov exponent, waveform analysis, bifurcationDownloads
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