Reducing the Dynamical Degradation by Bi-Coupling Digital Chaotic Maps

DOI10.1142/S0218127418500591zbMath1390.37058OpenAlexW2806320637WikidataQ129757579 ScholiaQ129757579MaRDI QIDQ4566434

Lingfeng Liu, Hanping Hu, Bocheng Liu, Suoxia Miao

Publication date: 15 June 2018

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127418500591

zbMATH Keywords

chaoscouplingdynamical degradationPRBGdigital chaotic map

Mathematics Subject Classification ID

Random number generation in numerical analysis (65C10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complexity classes (hierarchies, relations among complexity classes, etc.) (68Q15)

Related Items (10)

Evaluating the Randomness of Chaotic Binary Sequences Via a Novel Period Detection Algorithm ⋮ Bit cyclic shift method to reinforce digital chaotic maps and its application in pseudorandom number generator ⋮ \(n\)-dimensional chaotic map with application in secure communication ⋮ A novel perturbation method to reduce the dynamical degradation of digital chaotic maps ⋮ Constructing digitized chaotic time series with a guaranteed enhanced period ⋮ Designing multi-dimensional logistic map with fixed-point finite precision ⋮ Counteracting the Dynamical Degradation of Digital Chaos by Applying Stochastic Jump of Chaotic Orbits ⋮ Implementing a chaotic cryptosystem in a 64-bit embedded system by using multiple-precision arithmetic ⋮ Enhancing unimodal digital chaotic maps through hybridisation ⋮ A cluster of 1D quadratic chaotic map and its applications in image encryption

Uses Software

• TestU01
• NIST Statistical Test Suite

Cites Work

• Unnamed Item
• A pseudorandom number generator based on piecewise logistic map
• A general hybrid model for chaos robust synchronization and degradation reduction
• A chaos-based image encryption algorithm with variable control parameters
• Inversion formulas and linear complexity algorithm for diagonal plus semiseparable matrices
• Pseudo-randomness and complexity of binary sequences generated by the chaotic system
• An analogue–digital mixed method for solving the dynamical degradation of digital chaotic systems
• TestU01
• Approximate entropy as a measure of system complexity.
• Discrete Chaos-I: Theory
• Feedback image encryption algorithm with compound chaotic stream cipher based on perturbation
• ON THE DYNAMICAL DEGRADATION OF DIGITAL PIECEWISE LINEAR CHAOTIC MAPS

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