Shadowing and iterative interpolation for Čebyšev mixing transformations
type: Item
instance of: scholarly article
title: Shadowing and iterative interpolation for Čebyšev mixing transformations
zbMATH Open document ID: 0756.58037
DOI: 10.1016/0021-9991(92)90040-6
author: D. Gavelek
author: Thomas Erber
published in: Journal of Computational Physics
publication date: 1993-01-17T00:00:00Z
Mathematics Subject Classification ID: 37D99
Mathematics Subject Classification ID: 41A50
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 97188
zbMATH Keywords: instability
zbMATH Keywords: shadowing
zbMATH Keywords: approximation
zbMATH Keywords: Anosov diffeomorphisms
zbMATH Keywords: stability
zbMATH Keywords: Chebyshev polynomials
zbMATH Keywords: Chebyshev mixing transformations
MaRDI profile type: Publication
full work available at URL: 0021-9991(92)90040-6
OpenAlex ID: W1966773638
cites work: Q5566243
cites work: \(\omega\)-limit sets for axiom A diffeomorphisms
cites work: Do numerical orbits of chaotic dynamical processes represent true orbits?
cites work: Numerical orbits of chaotic processes represent true orbits
cites work: Q3908199
cites work: Ergodic and Mixing Properties of Chebyshev Polynomials
cites work: The simulation of random processes on digital computers with Chebyshev mixing transformations
cites work: Recurrence and dispersion under iteration of Cebysev polynomials
cites work: The simulation of random processes on digital computers: Unavoidable order
cites work: Stability of motion
cites work: Q5584086
cites work: Q3996709
cites work: Q5512814
cites work: Q4520726
cites work: Q5554207
cites work: Mixing transformations on metric spaces
cites work: Q3336431
cites work: The Arithmetic of the Digital Computer: A New Approach
cites work: Invariant sets under iteration of rational functions
cites work: Topological Entropy
cites work: Pseudo-Orbit Shadowing in the Family of Tent Maps
cites work: On mixing transformations
cites work: Q3973158
cites work: Q3996318
cites work: Q3935355
cites work: The use of Chebyshev mixing to generate pseudo-random numbers
cites work: ACORN - A new method for generating sequences of uniformly distributed pseudo-random numbers
cites work: Information-Theoretic Limitations of Formal Systems
cites work: When is f(f(z)) = az 2 + bz + c?
cites work: Q3778399
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description: scientific article; zbMATH DE number 97188