Abstract
This paper has investigated the boundedness of a new hyperchaotic Rabinovich system. We have obtained the global exponential attractive set and the ultimate bound Ωλ for this system. Furthermore, we can conclude that the rate of the trajectories of the system going from the exterior of the set Ωλ,2 to the interior of the set Ωλ,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.
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