An image encryption algorithm utilizing julia sets and hilbert curves. [PDF]
PLoS ONE, 2014 Image encryption is an important and effective technique to protect image security. In this paper, a novel image encryption algorithm combining Julia sets and Hilbert curves is proposed.
Yuanyuan Sun +3 more
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A study of Mandelbrot and Julia Sets via Picard-Thakur iteration with s-convexity. [PDF]
PLoS ONENowadays, many researchers are employing various iterative techniques to analyse the dynamics of fractal patterns. In this paper, we explore the formation of Mandelbrot and Julia sets using the Picard-Thakur iteration process, extended with s-convexity ...
Bashir Nawaz +3 more
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Fractal and Fractional, 2022 The Julia set is one of the most important sets in fractal theory. The previous studies on Julia sets mainly focused on the properties and graph of a single Julia set.
Weihua Sun, Shutang Liu
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Exploration of Filled-In Julia Sets Arising from Centered Polygonal Lacunary Functions [PDF]
Fractal and Fractional, 2019 Centered polygonal lacunary functions are a particular type of lacunary function that exhibit properties which set them apart from other lacunary functions. Primarily, centered polygonal lacunary functions have true rotational symmetry.
L.K. Mork +4 more
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Quaternion Feistel Cipher with an Infinite Key Space Based on Quaternion Julia Sets
Journal of Telecommunications and Information Technology, 2015 In this paper Quaternion Feistel Cipher (QFC) with an infinite key space based on quaternion Julia sets is proposed. The basic structure of the algorithm is based on the scheme proposed in 2012 by Sastry and Kumar.
Mariusz Dzwonkowski, Roman Rykaczewski
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Quasisymmetric geometry of the Cantor circles as the Julia sets of rational maps [PDF]
, 2015 We give three families of parabolic rational maps and show that every Cantor set of circles as the Julia set of a non-hyperbolic rational map must be quasisymmetrically equivalent to the Julia set of one map in these families for suitable parameters ...
Weiyuan Qiu, Fei Yang, Yongcheng Yin
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Computer Visualization of Julia Sets for Maps beyond Complex Analyticity [PDF]
EPJ Web of Conferences, 2021 Using the computer program creating Julia sets for two-dimensional maps we have made computer animation showing how Julia sets for the Peckham map alters when the parameter of the map is changing. The Peckham map is a one-parameter map which includes the
Toporensky Alexey, Stepanyan Ivan
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Synchronization of Julia Sets in Three-Dimensional Discrete Financial Models
Fractal and Fractional, 2023 When aiming to achieve consistency in fractal characteristics between different models, it is crucial to consider the synchronization of Julia sets.
Zhongyuan Zhao +2 more
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Consensus of Julia Sets of Potts Models on Diamond-Like Hierarchical Lattice
IEEE Access, 2022 The limit sets of zeros of the partition function for $\lambda $ -state Potts models on diamond-like hierarchical lattice are the Julia sets of functions in a family of rational functions. In this paper, the consensus problem of Julia sets generated by
Xiaoling Lu, Weihua Sun
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On the Fractional-Order Complex Cosine Map: Fractal Analysis, Julia Set Control and Synchronization
Mathematics, 2023 In this paper, we introduce a generalized complex discrete fractional-order cosine map. Dynamical analysis of the proposed complex fractional order map is examined. The existence and stability characteristics of the map’s fixed points are explored.
A. A. Elsadany +3 more
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