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Spectral decomposition of the tent map with varying height [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 1998 The generalized spectral decomposition of the Frobenius–Perron operator of the tent map with varying height is determined at the band-splitting points. The decomposition includes both decay onto the attracting set and the approach to the asymptotically periodic state on the attractor.
Subbiah, Suresh, Driebe, Dean J.
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Search for invariant sets of the generalized tent map
Journal of Difference Equations and Applications, 2022 This paper describes a predictive control method to search for unstable periodic orbits of the generalized tent map. The invariant set containing periodic orbits is a repelling set with a complicated Cantor-like structure. Therefore, a simple local stabilization of the orbit may not be enough to find a periodic orbit, due to the small measure of the ...
Kimberly Ayers +4 more
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A simple electronic circuit realization of the tent map [PDF]
, 2009 "We present a very simple electronic implementation of the tent map, one of the best-known discrete dynamical systems. This is achieved by using integrated circuits and passive elements only.
Campos Cantón, Eric +1 more
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A Color Image Encryption Technique Based on Bit-Level Permutation and Alternate Logistic Maps
Journal of Intelligent Systems, 2019 The paper presents an approach to encrypt the color images using bit-level permutation and alternate logistic map. The proposed method initially segregates the color image into red, green, and blue channels, transposes the segregated channels from the ...
Bisht Ankita +3 more
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A Multi-Carrier Structure for Chaos –Shift Keying
Journal of Kufa for Mathematics and Computer, 2021 The next generation of wireless communications networks needs higher data transfer rates; this requires to provide wireless communication systems operating at higher spectral efficiencies.
Salsabeel Hasan, Zahir Hussain
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Adaptive Color Image Encryption Scheme Based on Multiple Distinct Chaotic Maps and DNA Computing
Mathematics, 2022 In this paper, we propose an adaptive encryption scheme for color images using Multiple Distinct Chaotic Maps (MDCM) and DNA computing. We have chosen three distinct chaotic maps, including a 2D-Henon map, a Tent map, and a Logistic map, to separately ...
Shaista Mansoor +5 more
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Chaotic block cryptosystem using high precision approaches to tent map [PDF]
, 2011 This paper presents the implementation and evaluation of a block cryptosystem based in chaotic maps. The noise function used in this cryptosystem is an approximation to the chaotic tent map, and for this reason, it is named pseudo chaotic tent map (PCT ...
José Alejandro Díaz Méndez +2 more
core
Chaotic block cryptosystem using high precision approaches to tent map [PDF]
, 2012 This paper presents the implementation and evaluation of a block cryptosystem based in chaotic maps. The noise function used in this cryptosystem is an approximation to the chaotic tent map, and for this reason, it is named pseudo chaotic tent map (PCT ...
José Alejandro Díaz Méndez
core
Exploring Simplicity Bias in 1D Dynamical Systems
EntropyArguments inspired by algorithmic information theory predict an inverse relation between the probability and complexity of output patterns in a wide range of input–output maps. This phenomenon is known as simplicity bias.
Kamal Dingle +3 more
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Chaotic stream encryption scheme based on topological conjugate chaotic systems of Tent map
工程科学学报, 2015 A general chaotic stream encryption scheme is proposed by using two chaotic systems which topologically conjugate with Tent map and a method to generate independent and identically distributed chaotic streams.
TIAN Qing, XU Zheng-guang, TIAN Li
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