148
Views
4
CrossRef citations to date
0
Altmetric
Section B

Construction of the phenomenological model of Belousov–Zhabotinsky reaction state trajectory

&
Pages 4-13 | Received 14 Nov 2012, Accepted 28 Dec 2012, Published online: 18 Mar 2013
 

Abstract

The Belousov–Zhabotinsky reaction is used as an example of a self-organizing system which is easily and intelligibly observable, and experimentally accessible. The analysis does not require elaborate reconstruction of series of three-dimensional images as in the case of bird flocks, fish schools or organ behaviour. The analysis of living cells microscopic image series is even more elaborate. Moreover, the experimenter in the case of the chemical clock has full control of the mechanical constraints imposed on the system. In this, contributions are reported using both experimental and theoretical results of the BZ reaction as an experimental tool for the analysis of behaviour of the self-organizing system. We have created a state trajectory using several selected image identifiers (point information gain entropy – Hα). The Hα values define an approximate state space which may be analysed using multivariate analysis. In this report we provide results of this analysis.

2010 AMS Subject Classifications:

Acknowledgements

This work was partly supported by projects CENAKVA (CZ.1.05/2.1.00/01.0024) and by the grant GAJU152//2010/Z of the Grant Agency of the University of South Bohemia. The authors thank Petr Cisar and Tomáš Náhlík for their extensive help in the experimental and theoretical aspects of the work described in the article.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.