https://doi.org/10.1140/epjs/s11734-022-00702-7
Regular Article
A pseudo-basis using a recurrence plot
1
Human Informatics Interaction Research Institute, National Institute of Advanced Industrial Science and Technology, Tsukuba, Japan
2
Faculty of Engineering, Information and Systems, University of Tsukuba, Tsukuba, Japan
Received:
29
April
2022
Accepted:
27
September
2022
Published online:
21
October
2022
We examine how much of columns of a recurrence plot can be represented by bit operations of a subset of the columns, which is here called a pseudo-basis. Such bit operations include AND, OR, and NOT. We find that the ratio of the columns that cannot be represented by such bit operations decreases exponentially when one increases the number of columns included in the subset. Our results would be a fundamental reasoning on how one can express a time series generated from a nonlinear system.
Trends in Recurrence Analysis of Dynamical Systems. Guest editors: Norbert Marwan, Charles Webber Jr., Andrzej Rysak.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
