Statistical independence in nonlinear maps coupled to non-invertible transformations |
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Authors: | Kai Wang Wenjiang Pei Monica Garcia Nustes |
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Institution: | a Department of Radio Engineering, Southeast University, Nanjing, China b Centro de Fisica, Instituto Venezolano de Investigaciones Cientificas, Apartado 21827, Caracas 1020-A, Venezuela |
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Abstract: | We investigate the connections between functions of type xn=p(θTzn) and nonlinear maps coupled to non-invertible transformations. These systems can produce unpredictable dynamics. We study the higher-order correlations in the generated sequences. We show that (theoretically) it is possible to construct systems that can generate sequences that constitute a set of statistically independent random variables. We apply the results in the improvement of a two-dimensional coupled map system that has been used in practical applications as e.g. cryptosystems and data compression. |
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Keywords: | 05 45 +b |
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