#### Lyapunov Exponent Enhancement in Chaotic Maps with Uniform Distribution Modulo One Transformation

Yıl: 2022 Cilt: 4 Sayı: 1 Sayfa Aralığı: 45 - 58 Metin Dili: İngilizce DOI: 10.51537/chaos.1069002 İndeks Tarihi: 29-07-2022

Lyapunov Exponent Enhancement in Chaotic Maps with Uniform Distribution Modulo One Transformation

Öz: Most of the chaotic maps are not suitable for chaos-based cryptosystems due to their narrow chaotic parameter range and lacking of strong unpredictability. This work presents a nonlinear transformation approach for Lyapunov exponent enhancement and robust chaotification in discrete-time chaotic systems for generating highly independent and uniformly distributed random chaotic sequences. The outcome of the new chaotic systems can directly be used in random number and random bit generators without any post-processing algorithms for various information technology applications. The proposed Lyapunov exponent enhancement based chaotic maps are analyzed with Lyapunov exponents, bifurcation diagrams, entropy, correlation and some other statistical tests. The results show that excellent random features can be accomplished even with one-dimensional chaotic maps with the proposed approach.

Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA | Ablay G (2022). Lyapunov Exponent Enhancement in Chaotic Maps with Uniform Distribution Modulo One Transformation. , 45 - 58. 10.51537/chaos.1069002 |

Chicago | Ablay Günyaz Lyapunov Exponent Enhancement in Chaotic Maps with Uniform Distribution Modulo One Transformation. (2022): 45 - 58. 10.51537/chaos.1069002 |

MLA | Ablay Günyaz Lyapunov Exponent Enhancement in Chaotic Maps with Uniform Distribution Modulo One Transformation. , 2022, ss.45 - 58. 10.51537/chaos.1069002 |

AMA | Ablay G Lyapunov Exponent Enhancement in Chaotic Maps with Uniform Distribution Modulo One Transformation. . 2022; 45 - 58. 10.51537/chaos.1069002 |

Vancouver | Ablay G Lyapunov Exponent Enhancement in Chaotic Maps with Uniform Distribution Modulo One Transformation. . 2022; 45 - 58. 10.51537/chaos.1069002 |

IEEE | Ablay G "Lyapunov Exponent Enhancement in Chaotic Maps with Uniform Distribution Modulo One Transformation." , ss.45 - 58, 2022. 10.51537/chaos.1069002 |

ISNAD | Ablay, Günyaz. "Lyapunov Exponent Enhancement in Chaotic Maps with Uniform Distribution Modulo One Transformation". (2022), 45-58. https://doi.org/10.51537/chaos.1069002 |

APA | Ablay G (2022). Lyapunov Exponent Enhancement in Chaotic Maps with Uniform Distribution Modulo One Transformation. Chaos Theory and Applications, 4(1), 45 - 58. 10.51537/chaos.1069002 |

Chicago | Ablay Günyaz Lyapunov Exponent Enhancement in Chaotic Maps with Uniform Distribution Modulo One Transformation. Chaos Theory and Applications 4, no.1 (2022): 45 - 58. 10.51537/chaos.1069002 |

MLA | Ablay Günyaz Lyapunov Exponent Enhancement in Chaotic Maps with Uniform Distribution Modulo One Transformation. Chaos Theory and Applications, vol.4, no.1, 2022, ss.45 - 58. 10.51537/chaos.1069002 |

AMA | Ablay G Lyapunov Exponent Enhancement in Chaotic Maps with Uniform Distribution Modulo One Transformation. Chaos Theory and Applications. 2022; 4(1): 45 - 58. 10.51537/chaos.1069002 |

Vancouver | Ablay G Lyapunov Exponent Enhancement in Chaotic Maps with Uniform Distribution Modulo One Transformation. Chaos Theory and Applications. 2022; 4(1): 45 - 58. 10.51537/chaos.1069002 |

IEEE | Ablay G "Lyapunov Exponent Enhancement in Chaotic Maps with Uniform Distribution Modulo One Transformation." Chaos Theory and Applications, 4, ss.45 - 58, 2022. 10.51537/chaos.1069002 |

ISNAD | Ablay, Günyaz. "Lyapunov Exponent Enhancement in Chaotic Maps with Uniform Distribution Modulo One Transformation". Chaos Theory and Applications 4/1 (2022), 45-58. https://doi.org/10.51537/chaos.1069002 |