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2025-03-30
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Copyright (c) 2025 Walaa Hadi Abdulnabi, Sadiq A. Mehdi, Sawsen Abdulhadi Mahmood
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Development and Evaluation of an Innovative Three-Dimensional Hyperchaotic map
Walaa Hadi Abdulnabi
Department of Computer Science, Collage of Education, Mustansiriyah University
Sadiq A. Mehdi
Department of Computer Science, Collage of Education, Mustansiriyah University
Sawsen Abdulhadi Mahmood
Department of Computer Science, Collage of Education, Mustansiriyah University
DOI: https://doi.org/10.47831/mjpas.v3i2.223
Keywords: chaotic, Lyapunov exponents, hyper, three-dimensional, unstable, Kaplan-York dimension, sensitivity for initial conditions.
Abstract
we are designing the new system which is 3D hyper-chaotic and subsequently examined the most critical characteristics of this proposed system with a dynamic behavior by using Mathematica software that performs numerical simulations of these dynamic behaviors. The findings indicated that the suggested system has three-dimensional with generates hyper-chaotic attractors, as it has two positive exponents of Lyapunov in (LE1= 1.14247, LE2= 0.01498), which makes it hyper-chaotic, and that it is unstable and possesses the butterfly effect, as its wave form is non-periodic and therefore has non-periodic properties and is dissipative. It has a Kaplan-York dimension as (2.07643). Also the new system is sensitive to any, even very slight, change in initial conditions, is unpredictable, and is complex, and thus possesses the basic dynamical properties of chaotic systems.
