A novel image encryption scheme based on logistic map and dynatomic modular curve
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DOI: 10.1007/s11042-017-4786-7
Abstract: A new image encryption and decryption algorithm based on chaotic map and dynatomic modular curve is proposed in this paper. Firstly, the definition of dynatomic modular curve and its periodic points are introduced, and a… read more here.
Keywords: image; logistic map; modular curve; map dynatomic ... See more keywords
Comments on “Discrete fractional logistic map and its chaos” [Nonlinear Dyn. 75, 283–287 (2014)]
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DOI: 10.1007/s11071-019-05012-7
Abstract: In this note, two comments are pointed out to the paper (Wu and Baleanu in Nonlinear Dyn 75:283–287, 2014). It is confirmed that the equation of fractional logistic map proposed by Wu and Baleanu cannot… read more here.
Keywords: nonlinear dyn; dyn 283; 283 287; logistic map ... See more keywords
Securing Multimedia Using a Deep Learning Based Chaotic Logistic Map
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Journal of Biomedical and Health Informatics"
DOI: 10.1109/jbhi.2022.3178629
Abstract: Telemedicine and online consultations with doctors has become very popular during the pandemic and involves the transmission of medical data through the internet. Thus this raises concern about the security of the medical data of… read more here.
Keywords: map; logistic map; deep learning; multimedia ... See more keywords
Periodic Orbits of the Logistic Map in Single and Double Precision Implementations
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DOI: 10.1109/tcsii.2021.3081604
Abstract: In finite precision implementations of chaotic maps all trajectories are eventually periodic. The goal of this brief is to develop methods for systematic study of effects of finite precision computations on dynamical behaviors of discrete… read more here.
Keywords: double precision; precision implementations; logistic map; single double ... See more keywords
Stochastic Implementation and Analysis of Dynamical Systems Similar to the Logistic Map
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DOI: 10.1109/tvlsi.2016.2598359
Abstract: Stochastic computing (SC) is a digital computation approach that operates on random bit streams to perform complex tasks with much smaller hardware footprints compared with conventional binary radix approaches. SC works based on the assumption… read more here.
Keywords: stochastic implementation; logistic map; analysis dynamical; map ... See more keywords
Modification of the Logistic Map Using Fuzzy Numbers with Application to Pseudorandom Number Generation and Image Encryption
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DOI: 10.3390/e22040474
Abstract: A modification of the classic logistic map is proposed, using fuzzy triangular numbers. The resulting map is analysed through its Lyapunov exponent (LE) and bifurcation diagrams. It shows higher complexity compared to the classic logistic… read more here.
Keywords: image encryption; logistic map; map; generation ... See more keywords
Further Discussions of the Complex Dynamics of a 2D Logistic Map: Basins of Attraction and Fractal Dimensions
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DOI: 10.3390/sym12122001
Abstract: In this paper, we study the complex dynamic characteristics of a simple nonlinear logistic map. The map contains two parameters that have complex influences on the map’s dynamics. Assuming different values for those parameters gives… read more here.
Keywords: logistic map; map; complex dynamics; fractal dimensions ... See more keywords
Intermittency Reinjection in the Logistic Map
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DOI: 10.3390/sym14030481
Abstract: Just below a Period-3 window, the logistic map exhibits intermittency. Then, the third iterate of this map has been widely used to explain the chaotic intermittency concept. Much attention has been paid to describing the… read more here.
Keywords: map; logistic map; reinjection logistic; intermittency reinjection ... See more keywords
Image Encryption Based on Local Fractional Derivative Complex Logistic Map
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DOI: 10.3390/sym14091874
Abstract: Local fractional calculus (fractal calculus) plays a crucial role in applications, especially in computer sciences and engineering. One of these applications appears in the theory of chaos. Therefore, this paper studies the dynamics of a… read more here.
Keywords: logistic map; complex logistic; image encryption; local fractional ... See more keywords