Brewing unit time series analysis in the research of the complex system attractor properties
DOI:
https://doi.org/10.15587/1729-4061.2014.31094Keywords:
determined chaos, phase space, correlation format, brewery, time seriesAbstract
We have studied time series of a grout technology in making beer wort on the basis of grout temperature time series, using non-linear dynamics methods. We have developed algorithms for studying complex dynamic management systems as well as reconstructed attractors due to historical data on a brewing unit operation. Ultimately, we have estimated the Hurst index, the fractal volume, the delay time, the maximum phase space, and the correlation format. Our analysis of the indices has determined that the technological process of making beer wort has a complex non-linear behavior. This requires adequate methods and systems of synergetic management, which would be compatible with the physical nature of the object. This approach allows using natural mechanisms of the beer wort technology at full capacity, which saves energy and expenses.
References
- Malinetskii, J., Potapov, A. (2000). Modern problems of nonlinear dynamics. Moscow: Editorial URSS, 336. doi: 10.5281/zenodo.12817
- Pupena, O., Elperіn, I. (2005). Іntegratsіya systems control. Food and Processing Industry, 1, 9‑11. doi: 10.5281/zenodo.12823
- Ladanyuk, A., Trehub, V. (2005). Modern automation systems beet sugar production, 5, 39‑41. doi: 10.5281/zenodo.12824
- Bamforth, C. W. (2006). Brewing. New technologies. Phys. Rev., 484. doi: 10.5281/zenodo.12815
- Schuster, G. (1988). Deterministic chaos, 240. doi: 10.5281/zenodo.12821
- Krstic, M., Smyshlyaev, A. (2008). Boundary control of PDEs. Phys. Rev., 192. doi: 10.5281/zenodo.12814
- Berger, P., Pomo, J., Vidal, C. (1991). Order in chaos. About deterministic approach to turbulence, 368. doi: 10.5281/zenodo.12813
- Mandelbrot, B. (2006). (Not) obedient market: fraktalnaya revolution in finance. Moscow, 400. doi: 10.5281/zenodo.12818
- Peters, E. (2000). Chaos and order in the capital markets. Moscow, 305. doi: 10.5281/zenodo.12819
- Cramer, J. (1975). Mathematical methods of statistics Moscow, 625. doi: 10.5281/zenodo.12816
- Grassberger, P., Procaccia, I. (1983). Characterization of strange attractors. Physical Review Letters, 50 (5), 346‑349. doi: 10.1103/physrevlett.50.346
- Nerenberg, M. A., Essex, C. (1990). Correlation dimension and systematic geometric effects. Physical Review A, 42 (12), 7065‑7074. doi: 10.1103/physreva.42.7065
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2014 Микола Володимирович Чернецький, Василь Дмитрович Кишенько
This work is licensed under a Creative Commons Attribution 4.0 International License.
The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.
A license agreement is a document in which the author warrants that he/she owns all copyright for the work (manuscript, article, etc.).
The authors, signing the License Agreement with TECHNOLOGY CENTER PC, have all rights to the further use of their work, provided that they link to our edition in which the work was published.
According to the terms of the License Agreement, the Publisher TECHNOLOGY CENTER PC does not take away your copyrights and receives permission from the authors to use and dissemination of the publication through the world's scientific resources (own electronic resources, scientometric databases, repositories, libraries, etc.).
In the absence of a signed License Agreement or in the absence of this agreement of identifiers allowing to identify the identity of the author, the editors have no right to work with the manuscript.
It is important to remember that there is another type of agreement between authors and publishers – when copyright is transferred from the authors to the publisher. In this case, the authors lose ownership of their work and may not use it in any way.