Journal of Nonlinear Mathematical Physics

Volume 16, Issue 4, March 2013, Pages 465 - 487

Averaging in Weakly Coupled Discrete Dynamical Systems

Authors
Niklas Brännström
University of Helsinki, Department of Mathematics, P. O. Box 68, FIN-00014 University of Helsinki, Finland, niklas.brannstrom@helsinki.fi
Received 19 February 2009, Accepted 10 May 2009, Available Online 7 January 2021.
DOI
https://doi.org/10.1142/S1402925109000492How to use a DOI?
Keywords
Averaging principle, slow-fast dynamics, difference equations, full coupling, dynamical systems
Abstract

In [Y. Kifer, Averaging in difference equations driven by dynamical systems, Asterisque287 (2003) 103–123] a general averaging principle for slow-fast discrete dynamical systems was presented. In this paper we extend this method to weakly coupled slow-fast systems. For this setting we obtain sharper estimates than in the mentioned paper.

Copyright
© 2009 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
16 - 4
Pages
465 - 487
Publication Date
2021/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.1142/S1402925109000492How to use a DOI?
Copyright
© 2009 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Niklas Brännström
PY  - 2021
DA  - 2021/01
TI  - Averaging in Weakly Coupled Discrete Dynamical Systems
JO  - Journal of Nonlinear Mathematical Physics
SP  - 465
EP  - 487
VL  - 16
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.1142/S1402925109000492
DO  - https://doi.org/10.1142/S1402925109000492
ID  - Brännström2021
ER  -