2004•Acta Physica SinicaOpen access

A symbolic dynamics approach for the complexity analysis of chaotic pseudo-random sequences

Xiao Fang-Hong, Yan Gui-Rong, Han Yu-Hang, (1)西安交通大学建筑工程与力学学院,西安 710049; (2)中国工程物理研究院,绵阳 610003

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Abstract

By considering a chaotic pseudo-random sequence as a symb olic sequence, we present a symbolic dynamics approach for the complexity analys is of chaotic pseudo-random sequences. The method is applied to the cases of Logistic map and one-way coupl ed map lattice to demonstrate how it works, and a comparison is made between it and the approximate entropy method. The results show that this method is app licable to distinguish the complexities of different chaotic pseudo-random seque nces, and it is superior to the approximate entropy method.

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What this paper is about

By considering a chaotic pseudo-random sequence as a symb olic sequence, we present a symbolic dynamics approach for the complexity analys is of chaotic pseudo-random sequences. The method is applied to the cases of Logistic map and one-way coupl ed map lattice to demonstrate how it works, and a comparison is made between it and the approximate entropy method. The results show that this method is app licable to distinguish the complexities of different chaotic pseudo-random seque nces, and it is superior to the approximate entropy method.

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Available abstract

By considering a chaotic pseudo-random sequence as a symb olic sequence, we present a symbolic dynamics approach for the complexity analys is of chaotic pseudo-random sequences. The method is applied to the cases of Logistic map and one-way coupl ed map lattice to demonstrate how it works, and a comparison is made between it and the approximate entropy method. The results show that this method is app licable to distinguish the complexities of different chaotic pseudo-random seque nces, and it is superior to the approximate entropy method.

Key concepts: Chaotic, Symbolic dynamics, Logistic map, Computer science, Statistical physics, Sequence (biology), Coupled map lattice, Entropy (arrow of time)

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