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Universal Journal of Mathematics and Mathematical Sciences

Universal Journal of Mathematics and Mathematical Sciences
Volume 4, [Proceedings of International Conference: Mathematical Science and Applications, December 26-30, 2012, Abu Dhabi, UAE] Issue 1, Pages 91 - 101 (July 2013)

BOUNDEDNESS OF THE GENERALIZED 4D HYPERCHAOTIC SYSTEMS

Okba Zehrour and Hmazia Teyabe

Abstract:

In this paper, the generalized hyperchaotic four-dimension system is considered and the solution bounds of such a system are investigated, usingatechniquecombiningthegeneralizedLyapunovfunctiontheory and optimization. Finally, a numerical example is provided to illustrate the main result.

Keywords and phrases:

Lorenz-Stenflosystem,Lorenz-Hakensystem,lowerandupperbounds.

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