On the Dynamics of New 4D and 6D Hyperchaotic Systems

One of the most interesting problems is investigation boundaries chaotic or hyperchaotic systems. In addition to estimating Lyapunov and Hausdorff dimensions, it can be applied in chaos control synchronization. this paper, by means analytical optimization, comparison principle, generalized function theory, we find ultimate bound set for a new six-dimensional system globally exponentially attractive four-dimensional Lorenz- type system. The novelty paper that not only shows 4D confined but also presents collection global trapping regions Furthermore, demonstrates trajectories move at an exponential rate from outside zone its inside. Finally, some numerical simulations are shown demonstrate efficacy findings.