Dynamical Analysis, Synchronization and Circuit Implementation of a New Hyperchaotic System with Line Equilibrium

In this paper, a new nine-terms hyperchaotic system with line equilibrium is first constructed. The new system has very rich dynamical behaviors. It can exhibit periodic, quasi periodic, chaotic and hyperchaotic behaviors. The main dynamical properties of the new hyperchaotic system are discussed by means of Lyapunov exponents, bifurcation diagrams, Kaplan-York dimension and equilibrium points. The new system is verified by designing an electronic circuit using Multisim software. The obtained results showing the feasibility of the proposed hyperchaotic system. Finally, synchronization between two novel nine-terms hyperchaotic systems using active control is achieved.

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