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On the Efficiency of the Functional Localization Method

On the Efficiency of the Functional Localization Method We consider the question as to how precise the localization of invariant compact sets of atime-invariant system by the functional localization method can be in principle. We show that theunion of all invariant compact sets can be dramatically different from the intersection of alllocalizing sets obtained by the functional method. A class of systems for which these two coincideis singled out. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

On the Efficiency of the Functional Localization Method

Differential Equations , Volume 56 (11) – Dec 9, 2020

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References (21)

Publisher
Springer Journals
Copyright
Copyright © Pleiades Publishing, Ltd. 2020
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S00122661200110026
Publisher site
See Article on Publisher Site

Abstract

We consider the question as to how precise the localization of invariant compact sets of atime-invariant system by the functional localization method can be in principle. We show that theunion of all invariant compact sets can be dramatically different from the intersection of alllocalizing sets obtained by the functional method. A class of systems for which these two coincideis singled out.

Journal

Differential EquationsSpringer Journals

Published: Dec 9, 2020

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