Results 11 to 20 of about 15,300 (165)
Symbolic partition in chaotic maps [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2021 In this work, we only use data on the unstable manifold to locate the partition boundaries by checking folding points at different levels, which practically coincide with homoclinic tangencies. The method is then applied to the classic two-dimensional Hénon map and a well-known three-dimensional map.
Misha Chai, Yueheng Lan
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Memristor-type chaotic mapping [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2022 In this letter, a compact memristor structure unit is applied for constructing the discrete chaotic system and, consequently, a memristor-type chaotic mapping is designed. Two independent system parameters are proven to be partial and total amplitude controllers. Meanwhile, the internal memristor parameter returns the map a typical bifurcation. Finally,
Yongxin Li +3 more
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Chaotic mixing in a torus map [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2003 The advection and diffusion of a passive scalar is investigated for a map of the 2-torus. The map is chaotic, and the limit of almost-uniform stretching is considered. This allows an analytic understanding of the transition from a phase of constant scalar variance (for short times) to exponential decay (for long times). This transition is embodied in a
Thiffeault, JL, Childress, S
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Comment on “Image encryption with chaotically coupled chaotic maps” [PDF]
Physica D: Nonlinear Phenomena, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arroyo, D +4 more
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Analyzing All the Instances of a Chaotic Map to Generate Random Numbers
Computer Sciences & Mathematics Forum, 2023 All possible configurations of a chaotic map without fixed points, called “nfp1”, in its implementation in fixed-point arithmetic are analyzed. As the multiplication on the computer does not follow the associative property, we analyze the number of forms
Luis Gerardo de la Fraga
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International Journal of Bifurcation and Chaos, 2016 This paper introduces a class of polynomial maps in Euclidean spaces, investigates the conditions under which there exist Smale horseshoes and uniformly hyperbolic invariant sets, studies the chaotic dynamical behavior and strange attractors, and shows that some maps are chaotic in the sense of Li–Yorke or Devaney.
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A Novel Plain-Text Related Image Encryption Algorithm Based on LB Compound Chaotic Map
Mathematics, 2021 Chaos systems have been widely used in image encryption algorithms. In this article, we introduce an LB (Logistic-Baker) compound chaotic map that can greatly improve the complexity of original Logistic map and Baker map, as well as the generated ...
Shijie Zhang +2 more
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Empirically characteristic analysis of chaotic PID controlling particle swarm optimization. [PDF]
PLoS ONE, 2017 Since chaos systems generally have the intrinsic properties of sensitivity to initial conditions, topological mixing and density of periodic orbits, they may tactfully use the chaotic ergodic orbits to achieve the global optimum or their better ...
Danping Yan +4 more
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Compact Analog Chaotic Map Designs Using SOI Four-Gate Transistors
IEEE Access, 2023 This work introduces three novel chaotic map circuits. Two of the map circuits use two $p$ -channel and one $n$ -channel silicon-on-insulator (SOI) four-gate transistor (G 4FET) while the third design uses two $n$ -channel and one $p$ -channel G 4FET.
Maisha Sadia +2 more
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A novel image encryption scheme based on 3D bit matrix and chaotic map with Markov properties
Egyptian Informatics Journal, 2019 Based on 3D cat map, reverse 3D cat map and an improved class of chaotic maps with Markov properties, an effective bit-level image encryption scheme is proposed.
Meng Ge, Ruisong Ye
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