Compartmental Unpredictable Functions

Marat Akhmet (), Madina Tleubergenova and Akylbek Zhamanshin
Additional contact information
Marat Akhmet: Department of Mathematics, Middle East Technical University, 06800 Ankara, Turkey
Madina Tleubergenova: Department of Mathematics, Aktobe Regional University, Aktobe 030000, Kazakhstan
Akylbek Zhamanshin: Department of Mathematics, Middle East Technical University, 06800 Ankara, Turkey

Mathematics, 2023, vol. 11, issue 5, 1-17

Abstract: There is a huge family of recurrent functions, which starts with equilibria and ends with Poisson stable functions. They are fundamental in theoretical and application senses, and they admit a famous history. Recently, we have added the unpredictable functions to the family. The research has been performed in several papers and books. Obviously, theoretical and application merits of functions increase if one provides rigorously approved efficient methods of construction of concrete examples, as well as their numerical simulations. In the present study, we met the challenges for unpredictability by considering functions of two variables on diagonals. Algorithms have been created, and they are both deterministic and random. Characteristics are introduced to evaluate contributions of periodic and unpredictable components to the dynamics, and they are clearly illustrated in graphs of the functions. Definitions of non-periodic compartmental functions are provided as suggestions for the research in the future.

Keywords: unpredictable functions; compartmental unpredictable functions; degree of periodicity; functions determined deterministically and randomly; numerical simulations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/5/1069/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/5/1069/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:5:p:1069-:d:1075164

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().