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We propose a systematic methodology for creating 21-scroll chaotic attractors from a simple three-dimensional system, which is named as the translation chaotic system. It satisfies the condition 0, while the Chua system satisfies 0. In this paper, we also propose a successful (an effective) design and an analytical approach for constructing 21-scrolls, the translation transformation principle. Also, the dynamics properties of the system are studied in detail. MATLAB simulation results show very sophisticated dynamical behaviors and unique chaotic behaviors of the system. It provides a new approach for 21-scroll attractors. Finally, to explore the potential use in technological applications, a novel block circuit diagram is also designed for the hardware implementation of 1 3, 5, and 7scroll attractors via switching the switches. Translation chaotic system has the merit of convenience and high sensitivity to initial values, emerging potentials in future engineering chaos design.


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