Design of a new 5-D dynamical system exhibiting chaotic behavior

In this paper, anew five-dimension hyper chaotic system is introducing. A novel chaotic system predicated on a five-dimensional framework was employed to augment the level of disorder within the system, which contains fourteen positive parameters and complex chaotic dynamics characteristics. In the presence of equilibrium points, chaotic attractor, Lyapunov exponents, dissipative qualities, symmetry, Kaplan-Yorke dimensions, waveform analysis, and sensitivity to beginning circumstances, this system’s fundamental attributes and dynamic behavior are explored. The study’s findings that the new system contains five Lyapunov exponents and two unstable equilibrium points. The estimated values for Kaplan Yorke and the Maxim positive Lyapunov Exponent (MLE) are 3.12204 and 4.45994, respectively. The novel system demonstrates unpredictably unstable, highly complicated, and unstable features.