Estimations for ultimate boundary of a new hyperchaotic system and its simulation

摘要

This paper has investigated the boundedness of a new hyperchaotic Rabinovich system. We have obtained the global exponential attractive set and the ultimate bound Ω_λ for this system. Furthermore, we can conclude that the rate of the trajectories of the system going from the exterior of the set Ω_(λ,2) to the interior of the set Ω_(λ,2) is an exponential rate. The estimate of the trajectories rate is also obtained. Numerical simulations are presented to show the effectiveness of the proposed scheme.