PSEUDO-RANDOMNESS OF ROUND-OFF ERRORS IN DISCRETIZED LINEAR MAPS ON THE PLANE

DOI10.1142/S0218127403008557zbMath1057.37044OpenAlexW2130637790MaRDI QIDQ4655535

Franco Vivaldi, Igor G. Vladimirov

Publication date: 8 March 2005

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

Full work available at URL: https://doi.org/10.1142/s0218127403008557

zbMATH Keywords

\(p\)-adic dynamicspseudo-random sequencesRound-off errors

Mathematics Subject Classification ID

Roundoff error (65G50) Symbolic dynamics (37B10) Numerical chaos (65P20) Low-dimensional dynamical systems (37E99) Approximation methods and numerical treatment of dynamical systems (37M99) Pseudo-random numbers; Monte Carlo methods (11K45)

Related Items (10)

Criteria of ergodicity for \(p\)-adic dynamical systems in terms of coordinate functions ⋮ Ergodicity criteria for non-expanding transformations of 2-adic spheres ⋮ Nonlinear rotations on a lattice ⋮ Criteria of measure-preserving for \(p\)-adic dynamical systems in terms of the van der Put basis ⋮ Cramér distance and discretisations of circle expanding maps I: theory ⋮ Cramér distance and discretizations of circle expanding maps II: simulations ⋮ On measure-preserving functions over \(\mathbb Z_3\) ⋮ A quantitative probabilistic investigation into the accumulation of rounding errors in numerical ODE solution ⋮ On recent results of ergodic property for \(p\)-adic dynamical systems ⋮ Asymptotics in a family of linked strip maps

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• p-adic dynamics
• Geometry of \(p\)-adic Siegel discs
• Pathologies generated by round-off in dynamical systems
• \(p\)-adic dynamical systems
• An algorithmic view of pseudochaos
• Set-valued Markov chains and negative semitrajectories of discretized dynamical systems
• Effects of phase space discretization on the long-time behavior of dynamical systems
• Complexity, randomness, discretization: some remarks on a program of J. Ford
• p-adic Chaos and Random Number Generation
• Round-off errors andp-adic numbers
• Periodicity and Transport from Round-Off Errors
• Quasi-periodicity, global stability and scaling in a model of Hamiltonian round-off
• Asymptotic Independence and Uniform Distribution of Quantization Errors for Spatially Discretized Dynamical Systems

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