How to perturb Bernoulli shift map
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DOI: 10.1016/j.chaos.2022.112793
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- Bocheng Liu & Hongyue Xiang & Lingfeng Liu, 2020. "Reducing the Dynamical Degradation of Digital Chaotic Maps with Time-Delay Linear Feedback and Parameter Perturbation," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-12, February.
- Kanso, Ali & Smaoui, Nejib, 2009. "Logistic chaotic maps for binary numbers generations," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2557-2568.
- Yi-Jen Sun & Fan Bai & An-Chi Luo & Xiang-Yu Zhuang & Tsai-Shun Lin & Yu-Cheng Sung & Yu-Ling Shih & Chien-Jung Lo, 2021. "Probing bacterial cell wall growth by tracing wall-anchored protein complexes," Nature Communications, Nature, vol. 12(1), pages 1-9, December.
- Tutueva, Aleksandra V. & Nepomuceno, Erivelton G. & Karimov, Artur I. & Andreev, Valery S. & Butusov, Denis N., 2020. "Adaptive chaotic maps and their application to pseudo-random numbers generation," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
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Cited by:
- García-Grimaldo, Claudio & Campos-Cantón, Eric, 2023. "Exploring a family of Bernoulli-like shift chaotic maps and its amplitude control," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
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Keywords
Chaotic map; Bernoulli shift; Period; Modular arithmetic; Artin’s conjecture on primitive roots;All these keywords.
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