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Monotonic dynamical systems under spatial discretization
Author(s):
P.
Diamond;
P.
Kloeden;
V.
Kozyakin;
A.
Pokrovskii
Journal:
Proc. Amer. Math. Soc.
126
(1998),
2169-2174.
MSC (1991):
Primary 58F10, 58F12
MathSciNet review:
1443379
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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
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
DOI:
10.1090/S0002-9939-98-04277-4
PII:
S 0002-9939(98)04277-4
Keywords:
Roundoff lattice,
asymptotic stability,
dynamical system
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 of article:
Copyright
1998,
American Mathematical Society
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