Asymptotic Independence and Uniform Distribution of Quantization Errors for Spatially Discretized Dynamical Systems

DOI10.1142/S0218127498001133zbMath0948.37057MaRDI QIDQ4941320

Phil Diamond, Igor G. Vladimirov

Publication date: 23 November 2000

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

zbMATH Keywords

computer simulationsdiscrete quantizationdiscretized dynamical system

Mathematics Subject Classification ID

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Simulation of dynamical systems (37M05) Dynamical systems involving maps of the interval (37E05)

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Cites Work

• Asymptotic classification of aliasing structures
• Basin of attraction of cycles of discretizations of dynamical systems with SRB invariant measures.
• Interval stochastic matrices: A combinatorial lemma and the computation of invariant measures of dynamical systems
• Statistical properties of discretizations of a class of chaotic dynamical systems
• STATISTICAL LAWS FOR COMPUTATIONAL COLLAPSE OF DISCRETIZED CHAOTIC MAPPINGS
• Monotonic dynamical systems under spatial discretization
• Boundedness and Dissipativity of Truncated Rotations on Uniform Planar Lattices

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