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Abstract

This paper represents a sequential design for controlling a 3D chaotic system to a simple 6D hyperchaotic system using state feedback control and coupling strategies. The new 6D system has a three hyperbolic equilibrium point with four positive Lyapunov exponents (LE). Moreover, some dynamic properties are analyzed, including inclined equilibrium and their stability (dissipative, conservative, and multistable). In addition, the corresponding analogue electronic circuit is designed and implemented to verify the new simple 6D hyperchaotic system. Finally, the NI Multisim14.2simulation results observed from the digital oscilloscope are consistent with the mathematical simulation based on Matlab R2021a.

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