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| HAL : hal-00623064, version 1 |
| Fiche détaillée |  Récupérer au format |
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| PHYSCON 2011, León : Espagne (2011) |
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| DYNAMICAL AND STATISTICAL ANALYSIS OF A NEW LOZI FUNCTION FOR RANDOM NUMBERS GENERATION |
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| Andrea Espinel Rojas 1Ina Taralova 1 |
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| (05/09/2011) |
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| This paper presents the first results of the statistical and dynamical analysis of a new function showing random properties firstly proposed by Lozi. The phase plane analysis via the critical lines tool allowed to delimit analytically the holes in the chaotic attractor and to follow their evolution. In addition, the results of the statistical NIST tests for pseudo-randomness showed to be successful and significantly improved after an under-sampling of the output signal. |
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| 1 : | Institut de Recherche en Communications et en Cybernétique de Nantes (IRCCyN) |
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CNRS : UMR6597 – PRES Université Nantes Angers Le Mans [UNAM] – École Centrale de Nantes – École Nationale Supérieure des Mines - Nantes – Ecole Polytechnique de l'Université de Nantes |
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| 2 : | Laboratoire Jean Alexandre Dieudonné (JAD) |
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CNRS : UMR6621 – Université Nice Sophia Antipolis [UNS] |
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| Domaine | : | Science non linéaire/Dynamique Chaotique |
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| Lozi map – chaotic map – random number generator – NIST test |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00623064, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00623064 | |
| oai:hal.archives-ouvertes.fr:hal-00623064 | |
| Contributeur : Andrea Espinel Rojas | |
| Soumis le : Vendredi 13 Juillet 2012, 09:42:43 | |
| Dernière modification le : Vendredi 13 Juillet 2012, 12:22:13 | |
