Random numbers from a delay equation

DOI10.1007/S00332-016-9306-9zbMath1354.65011arXiv1512.07303OpenAlexW2212511297MaRDI QIDQ347076

Michael C. Mackey, Julian Self

Publication date: 30 November 2016

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.07303

zbMATH Keywords

numerical examplesBrownian motiondeterministic chaosrandom number generatorLyapunov exponentpseudorandom number generatorchaotic solutionsmultiple recursive generatordifferential delay equation

Mathematics Subject Classification ID

Brownian motion (60J65) Random number generation in numerical analysis (65C10) Complex (chaotic) behavior of solutions to functional-differential equations (34K23)

Related Items (2)

Robust chaos of cubic polynomial discrete maps with application to pseudorandom number generators ⋮ A novel image encryption scheme based on improved random number generator and its implementation

Uses Software

• MersenneTwister
• TestU01
• MRG32k3a

Cites Work

• Unnamed Item
• Handbook of computational statistics. Concepts and methods.
• Determining Lyapunov exponents from a time series
• Microscopic chaos and Gaussian diffusion processes
• Approximating Lyapunov exponents and Sacker-Sell spectrum for retarded functional differential equations
• TestU01
• Higher correlation functions of chaotic dynamical systems-a graph theoretical approach
• Classical Mechanics
• Mersenne twister
• Good Parameters and Implementations for Combined Multiple Recursive Random Number Generators
• Pseudorandom Number Generation by Nonlinear Methods
• Twisted GFSR generators
• Random Numbers Generated by Linear Recurrence Modulo Two
• Generalized Feedback Shift Register Pseudorandom Number Algorithm

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