Abstract
In this paper we propose a hyperchaotic complex system which generates 2-, 3- and 4-scroll attractors. Lyapunov exponents are calculated to observe hyperchaotic behavior. The stability analysis of the trivial fixed point is studied. Its dynamics are more rich in the sense that our system exhibits both chaotic and hyperchaotic attractors as well as periodic and quasi-periodic solutions, and solutions that approach fixed points. Bifurcation parameter diagrams are presented. Controlling hyperchaotic attractors of this system is investigated. The Lyapunov exponents are calculated to verify the control performance.
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