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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Monotonic dynamical systems under spatial discretization
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by P. Diamond, P. Kloeden, V. Kozyakin and A. Pokrovskii PDF
Proc. Amer. Math. Soc. 126 (1998), 2169-2174 Request permission

Abstract:

We estimate the probability of replicating the asymptotic behaviour of a dynamical system generated by a monotonic mapping for randomly centered roundoff lattices.
References
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Additional Information
  • P. Diamond
  • Affiliation: Department of Mathematics, University of Queensland, Brisbane 4072, Australia
  • Email: pmd@maths.uq.edu.au
  • P. Kloeden
  • Affiliation: Fachbereich Mathematik, Johann Wolfgang Goethe Universitat, D-60054 Frankfurt am Main, Germany
  • MR Author ID: 102990
  • Email: kloeden@math.uni-frankfurt.de
  • V. Kozyakin
  • Affiliation: Institute of Information Transmission Problems, Russian Academy of Science, 19 Ermolovoy St., Moscow 101447, Russia
  • Email: kozyakin@nov.ippi.ras.ru
  • A. Pokrovskii
  • Affiliation: Physics Department, University College, Cork, Ireland
  • Received by editor(s): September 23, 1996
  • Received by editor(s) in revised form: December 24, 1996
  • Additional Notes: This research was supported by the Australian Research Council Grant A 8913 2609.
  • Communicated by: Hal L. Smith
  • © Copyright 1998 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 126 (1998), 2169-2174
  • MSC (1991): Primary 58F10, 58F12
  • DOI: https://doi.org/10.1090/S0002-9939-98-04277-4
  • MathSciNet review: 1443379