Evidence of the correlation between positive Lyapunov exponents and good chaotic random number sequences

DOI10.1016/J.CPC.2004.04.001zbMath1391.65015OpenAlexW2074997484MaRDI QIDQ709522

Yih-Yuh Chen, Soo-Chang Pei, Yi Chen, Po-Han Lee

Publication date: 18 October 2010

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: http://ntur.lib.ntu.edu.tw/bitstream/246246/142483/1/73.pdf

Mathematics Subject Classification ID

Random number generation in numerical analysis (65C10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (4)

FUNDAMENTALS OF A CLASSICAL CHAOS-BASED CRYPTOSYSTEM WITH SOME QUANTUM CRYPTOGRAPHY FEATURES ⋮ A novel dynamic model of pseudo random number generator ⋮ Kendall’s Tau Based Correlation Analysis of Chaotic Sequences Generated by Piecewise Linear Maps ⋮ Chaotical PRNG based on composition of logistic and tent maps using deep-zoom

Uses Software

• PSEUDORAN

Cites Work

• Unnamed Item
• Good random number generators are (not so) easy to find
• A review of pseudorandom number generators
• Chaos and randomness
• Uniform random number generation
• A random number generator based on unpredictable chaotic functions
• Logistic Map as a Random Number Generator
• Random Number Generators on Vector Supercomputers and Other Advanced Architectures
• Inversive and linear congruential pseudorandom number generators in empirical tests
• Pseudorandom Number Generation by Nonlinear Methods
• Synchronization in chaotic systems

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