Results 31 to 40 of about 15,300 (165)
Real Analysis Exchange, 1995 Suppose \(X\) to be a compact metric space, \(w_1, w_2, \dots , w_m\) invertible contractive selfmaps. The iterated function system \((X;w_1,w_2,\dots ,w_m)\) satisfies the open set condition, if \(X\) is an attractor of the system \((X,w_1,w_2,\dots ,w_m)\) and there is a nonvoid open \(O\subseteq X\) such that \(w_i[O]\cap w_j[O]=\emptyset\) for \(i ...
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The Scientific World Journal, 2015 We present and discuss philosophy and methodology of chaotic evolution that is theoretically supported by chaos theory. We introduce four chaotic systems, that is, logistic map, tent map, Gaussian map, and Hénon map, in a well-designed chaotic evolution ...
Yan Pei
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A New Keyed Hash Function Based on Compounded Chaotic Maps
IEEE AccessIn this paper, we firstly construct a new chaotic map by compounding a couple of chaotic maps and, using specific mathematical tools (i.e., Lyapunov exponent), we prove its sensitivity to the initial conditions and the underlying chaotic behavior ...
Ana-Cristina Dascalescu +2 more
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Performance of Finite Precision on Discrete Chaotic Map Based on a Feedback Shift Register
Complexity, 2020 The scintillating technological improvements have changed the process of communication in all parts of the world. Shopping, banking, instant communication, and so on can be operated online and do not care about the linkage of those Internet ...
Chunguang Huang, Qun Ding
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Image Encryption Scheme Based on Newly Designed Chaotic Map and Parallel DNA Coding
Mathematics, 2023 In this paper, a new one-dimensional fractional chaotic map is proposed and an image encryption scheme based on parallel DNA coding is designed by using the chaotic map.
Shenli Zhu +3 more
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A New 1D Chaotic Map and
IEEE Access, 2018 One-dimensional (1-D) chaotic maps have been considered as prominent pseudo-random source for the design of different cryptographic primitives. They have the advantages of simplicity, easy to implement, and low computation.
Amer Awad Alzaidi +4 more
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An Image Encryption Algorithm Based on Multichaotic System and DNA Coding
Discrete Dynamics in Nature and Society, 2020 In this paper, an improved two-dimensional logistic-sine coupling map (N2D-LSCM) and an improved Henon map (NHenon) are proposed. Furthermore, by combining N2D-LSCM and NHenon map, an image encryption algorithm is proposed based on these two chaotic ...
Jiming Zheng, Zheng Luo, Zhirui Tang
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Winding Numbers in Discrete Dynamics: From Circle Maps and Fractals to Chaotic Poincaré Sections
ModellingWinding numbers are key indices in the depiction, modelling, and testing of dynamical processes. They capture phase progression on closed curves and are robust for quasiperiodic dynamics, but their status for chaotic Poincaré sections is unclear.
Zhengyuan Zhang, Liming Dai, Na Jia
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Chaotic behavior in the H�non mapping
Communications in Mathematical Physics, 1979 In a previous work Henon investigated a two-dimensional difference equation which was motivated by a hydrodynamical system of Lorenz. Numerically solving this equation indicated for certain parameter values the existence of a “strange attractor”, i.e., a region in the plane which attracts bounded solutions and in which solutions wander erratically.
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Entropy, 2018 The search for generation approaches to robust chaos has received considerable attention due to potential applications in cryptography or secure communications.
Nattagit Jiteurtragool +2 more
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