Numerical and theoretical study of a novel hyperchaotic six-dimensional system.

There has been a great deal of research on the chaotic system. This paper introduces a novel six-dimension hyper chaotic system. Our work focused on increasing chaos in a six-dimensional system by adding twelve positive parameters and complicated chaotic dynamics behaviours. The Lyapunov Exponents, equilibrium points, symmetry, Kaplan-Yorke dimension, sensitivity toward initial conditions, Dissipativity, and waveform analysis are analysed to investigate the system's primary characteristics and dynamic behaviour. The analysis results demonstrate that the new system has six Lyapunov exponents, one unstable equilibrium point, Kaplan-Yorke is 4.04498, and maxim non-negative Lyapunov Exponents is L1= 10.7223. The novel system characteristics with unpredictability, unstable, and high complexity. The MATHEMATICA program is utilized to simulate the proposed system dynamics. [ABSTRACT FROM AUTHOR]