Abstract
In this work, we develop a periodic averaging principle for arbitrary discrete time domains, leveraging a novel definition of periodicity. This definition does not rely on the classical requirement for the time domain itself to be periodic. We implement this averaging principle across diverse discrete time domains and explore a range of periodic functions within this extended context. The paper contains several examples with numerical simulations, providing visual demonstrations of our results. This highlights the versatility of our averaging principle and its potential to understand dynamics of nonautonomous recurrences with complex temporal patterns.
Recommended Citation
M. Bohner et al., "Averaging Principle for a General Class of Periodic Functions in Discrete Spaces," Bulletin of the Brazilian Mathematical Society, vol. 57, no. 1, article no. 7, Springer, Mar 2026.
The definitive version is available at https://doi.org/10.1007/s00574-025-00485-0
Department(s)
Mathematics and Statistics
Keywords and Phrases
Averaging principle; Periodicity; Time scales
International Standard Serial Number (ISSN)
1678-7714; 1678-7544
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2026 Springer, All rights reserved.
Publication Date
01 Mar 2026
Comments
Conselho Nacional de Desenvolvimento Científico e Tecnológico, Grant None