Proceedings ArticleDOI
Novel two dimensional discrete chaotic maps and simulations
Pei Li,Lequan Min,Yu Hu,Geng Zhao,Xiaodong Li +4 more
- pp 159-162
TLDR
In this paper, a 2D quadric polynomial discrete chaotic map and seven triangle function combination discrete chaotic maps (2D-TFCDM) were introduced with at least one positive Lyapunov exponent.Abstract:
This paper introduces one new novel 2-dimensional quadric polynomial discrete chaotic map and seven novel triangle function combination discrete chaotic maps (2D-TFCDM) The 2D-TFCDMs have at least one positive Lyapunov exponent Extensive numerical simulations display the orbits of the 2D-TFCDMs to have different chaotic attractorsread more
Citations
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Journal ArticleDOI
Novel two dimensional fractional-order discrete chaotic map and its application to image encryption
Zeyu Liu,Tiecheng Xia +1 more
TL;DR: A new fractional two dimensional triangle function combination discrete chaotic map (2D-TFCDM) is proposed by utilizing the discrete fractional calculus and is converted into algorithm, and applied to color image encryption.
Journal ArticleDOI
Fractional two-dimensional discrete chaotic map and its applications to the information security with elliptic-curve public key cryptography:
Zeyu Liu,Tiecheng Xia,Jinbo Wang +2 more
TL;DR: The bifurcation diagrams, the largest Lyapunov exponent and the phase portraits are displayed, especially, the elliptic curve public key cryptosystem is used in color image encryption algorithm.
Journal ArticleDOI
Image Encryption Technology Based on Fractional Two-Dimensional Triangle Function Combination Discrete Chaotic Map Coupled with Menezes-Vanstone Elliptic Curve Cryptosystem
Zeyu Liu,Tiecheng Xia,Jinbo Wang +2 more
TL;DR: The proposed discrete fractional map is applied into image encryption with the secret keys ciphered by Menezes-Vanstone Elliptic Curve Cryptosystem (MVECC) and the image encryption algorithm is analysed in four main aspects that indicate the proposed algorithm is better than others.
Proceedings ArticleDOI
A novel chaotic system and design of pseudorandom number generator
TL;DR: The result suggests that the key stream of the CPRNG has sound pseudorandomness, and a 6-dimensional chaotic generalized synchronic system is introduced based on the chaotic map and a chaos generalized synchronization theorem.
Book ChapterDOI
On dynamics and invariant sets in predator-prey maps
TL;DR: In this article, local and global dynamics for a predator-prey two-dimensional map are discussed, where the system displays an enormous richness of dynamics including extinctions, coextinctions, and both ordered and chaotic coexistence.
References
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Journal ArticleDOI
Deterministic nonperiodic flow
TL;DR: In this paper, it was shown that nonperiodic solutions are ordinarily unstable with respect to small modifications, so that slightly differing initial states can evolve into considerably different states, and systems with bounded solutions are shown to possess bounded numerical solutions.
Book ChapterDOI
Period Three Implies Chaos
TL;DR: In this article, a generalized logistic equation was used to model the distribution of points of impact on a spinning bit for oil well drilling, as mentioned if this distribution is helpful in predicting uneven wear of the bit.
Book
Chaos and time-series analysis
TL;DR: In this article, the authors present a mathematical model for chaotic multidimensional flows and fractal dimension calculation based on the Lyapunov exponents and the Hamiltonian chaos.
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