A novel image encryption scheme based on logistic map and dynatomic modular curve
Sign Up to like & getrecommendations! Published in 2017 at "Multimedia Tools and Applications"
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)]
Sign Up to like & getrecommendations! Published in 2019 at "Nonlinear Dynamics"
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
Designing a novel image encryption scheme based on an improved 2D logistic map
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Applied Physics"
DOI: 10.1063/5.0229908
Abstract: This paper presents an improved two-dimensional logistic map. Relative to the original logistic map, the improved chaos map has better performance, e.g., larger chaotic range, higher complexity, and boosting sequence. Based on these good performances,… read more here.
Keywords: designing novel; novel image; encryption scheme; image encryption ... See more keywords
Rigorous numerical study of the density of periodic windows for the logistic map.
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DOI: 10.1063/5.0250869
Abstract: Numerical study of periodic windows for the logistic map is carried out. Accurate rigorous bounds for periodic windows' end points are computed using interval arithmetic based tools. An efficient method to find the periodic window… read more here.
Keywords: rigorous numerical; periodic windows; numerical study; logistic map ... See more keywords
Generalized logistic map and its applications
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DOI: 10.1063/5.0263704
Abstract: This study examines the generalized logistic map, a mathematical model defined by a recurrence relation with parameters that govern its dynamics. By broadening the scope of the classical logistic map, this generalized form captures a… read more here.
Keywords: map; logistic map; map applications; generalized logistic ... See more keywords
Two-dimensional-lag complex logistic map with complex parameters and its encryption application
Sign Up to like & getrecommendations! Published in 2024 at "Chinese Physics B"
DOI: 10.1088/1674-1056/ad2a69
Abstract: With the rapid development of internet technology, security protection of information has become more and more prominent, especially information encryption. Considering the great advantages of chaotic encryption, we propose a 2D-lag complex logistic map with… read more here.
Keywords: complex logistic; complex parameters; lag complex; encryption ... See more keywords
Reservoir computing with logistic map.
Sign Up to like & getrecommendations! Published in 2024 at "Physical review. E"
DOI: 10.1103/physreve.110.034204
Abstract: Recent studies on reservoir computing essentially involve a high-dimensional dynamical system as the reservoir, which transforms and stores the input as a higher-dimensional state for temporal and nontemporal data processing. We demonstrate here a method… read more here.
Keywords: method; computing logistic; reservoir; reservoir computing ... 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
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Circuits and Systems II: Express Briefs"
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
Sign Up to like & getrecommendations! Published in 2017 at "IEEE Transactions on Very Large Scale Integration (VLSI) Systems"
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