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A Hyperchaotic Complex Chen System and its Dynamics

Gamal M. Mahmoud, Emad E. Mahmoud, Mansour E. Ahmed


The main goal of this article is to introduce and study the dynamics of a new hyperchaotic complex Chen system. The dynamics of this system which is a 6-dimensional autonomous system is rich and complicated. The new system has chaotic, hyperchaotic attractors, periodic, quasi-periodic solutions and solutions approach fixed points. These solutions are calculated based on Lyapunov exponents. Bifurcation diagram of this system are calculated and in good agreement with Lyapunov exponents. Different hyperchaotic complex Chen systems are suggested. Our results are demonstrated graphically.


Hyperchaotic, dynamics, complex, attractors, Lyapunov exponents, bifurcation, dissipative

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