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• W4213355511 abstract "When high-dimensional chaotic systems are applied to many practical applications, they are required to have robust and complex hyperchaotic behaviors. In this article, we propose a novel <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink><tex-math notation=LaTeX>$n$</tex-math></inline-formula> D chaotic system construction method using the Pascal-matrix theory. First, a parametric Pascal matrix is constructed. Then, an <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink><tex-math notation=LaTeX>$n$</tex-math></inline-formula> D chaotic system can be generated by using the parametric Pascal matrix as the parameter matrix of the system. Theoretical analysis shows that the generated <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink><tex-math notation=LaTeX>$n$</tex-math></inline-formula> D chaotic systems have robust and complex chaotic behaviors, and they become <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink><tex-math notation=LaTeX>$n$</tex-math></inline-formula> D Arnold Cat maps by fixing the parameters as some special values. Performance evaluations demonstrate that the <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink><tex-math notation=LaTeX>$n$</tex-math></inline-formula> D chaotic systems have more complex chaotic behaviors and better distribution of outputs compared with existing HD chaotic systems. A 4-D Arnold Cat map and a 4-D chaotic map with hyperchaotic behaviors are generated as two examples. The two chaotic maps are then simulated on a microcontroller-based hardware platform and the chaotic sequences are tested to show good randomness." @default.
• W4213355511 created "2022-02-24" @default.
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• W4213355511 date "2022-12-01" @default.
• W4213355511 modified "2023-10-12" @default.
• W4213355511 title "An $n$-Dimensional Chaotic System Generation Method Using Parametric Pascal Matrix" @default.
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• W4213355511 doi "https://doi.org/10.1109/tii.2022.3151984" @default.
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