The periodic process has a significant role in a human life. Our nature has a year and daily cycle. Our work depends on weeks and months. These all processes form periodicity in technical and economic systems. For example, internet traffic has a daily, weekly and annual periodicity. Also, human body has many of its own cycles. Without exaggeration it can be said that the periodic processes create our lives. The periodic process should be described and modelled for better control and management. Important role has data management here. From the above, it follows the relevance of the problem of mathematical modeling of periodic processes. Mathematical modeling is one of the biggest approaches for efficient processing and management of information. It is easier and cheaper to check the management efficiency with the help of mathematical models than doing it in real life. For this reason, many scientific schools have begun exploring and investing in the field of mathematical modelingin management, computer sciences, and engineering informatics.