Randomizing nonlinear maps via symbolic dynamics
作者： L. De Micco , C.M. González , H.A. Larrondo , M.T. Martin , A. Plastino
DOI: 10.1016/J.PHYSA.2008.02.037
关键词:
摘要: Abstract Pseudo Random Number Generators (PRNG) have attracted intense attention due to their obvious importance for many branches of science and technology. A randomizing technique is a procedure designed improve the PRNG randomness degree according specific requirements. It obviously important quantify its effectiveness. In order classify techniques based on symbolic dynamics’ approach, we advance novel, physically motivated representation statistical properties chaotic systems. Recourse made plane that has as coordinates (i) Shannon entropy (ii) form complexity measure. Each quantifier incorporates different probability distribution function, generating thus sheds insight into just how each operates also quantifies Using Logistic Map Three Way Bernoulli typical examples dynamics it shown our methodology allows choosing more convenient in instance. Comparison with measures diagonal lines recurrence plots [N. Marwan, M.C. Romano, M. Thiel, J. Kurths, Phys. Rep. 438 (2007) 237] support main conclusions this paper.
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