A NOVEL S-BOX DESIGN ALGORITHM AND FUZZY-PID CONTROLLER DESIGN FOR A 5-D BURKE-SHAW SYSTEM WITH HIDDEN HYPERCHAOS

Qingxia Ma, Wenqiang Luo, Hadi Jahanshahi, Unal Cavusoglu, Akif Akgul, and Xianguang Lin

Keywords

Multistability; Hidden attractors; Burke- Shaw system; S-BOX Design algorithm; Fuzzy-PID controller

Abstract

This paper presents a new S-BOX design algorithm of hidden hyperchaos in a 5D hyperchaotic Burke-Shaw system. Of particular interest is that the hidden hyperchaotic attractors can be generated with three positive Lyapunov exponents with only one stable equilibrium. In addition, a new Pseudo Random Number Generator (PRNG) is developed by using the new 5-D Burke-Shaw system. Furthermore, generated bit series have passed all NIST tests, which are run on bit series from the new PRNG. According to performance analysis, generated S-Box has better value than the chaos based S-Box on the literature. Finally, Fuzzy-PID controller design is discussed for 5-D Burke-Shaw system with hidden hyperchaos. These results show the effectiveness of controller.

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