Preliminary results of deterministic chaos control through complexity measures

Navrátil, Eduard; Zelinka, Ivan; Šenkeřík, Roman

dc.title	Preliminary results of deterministic chaos control through complexity measures	en
dc.contributor.author	Navrátil, Eduard
dc.contributor.author	Zelinka, Ivan
dc.contributor.author	Šenkeřík, Roman
dc.relation.ispartof	20th European Conference on Modelling and Simulation ECMS 2006: Modelling Methodologies and Simulation: Key Technologies in Academia and Industry
dc.identifier.isbn	0-9553018-0-7
dc.date.issued	2006
dc.citation.spage	513
dc.citation.epage	518
dc.event.title	20th European Conference on Modelling and Simulation
dc.event.location	Bonn
utb.event.state-en	Germany
utb.event.state-cs	Německo
dc.event.sdate	2006-05-28
dc.event.edate	2006-05-31
dc.type	conferenceObject
dc.language.iso	en
dc.publisher	European Council for Modelling and Simulation (ECMS)	en
dc.relation.uri	http://www.scs-europe.net/services/ecms2006/ecms2006%20pdf/112-chaos.pdf
dc.relation.uri	http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.115.1086&rep=rep1&type=pdf
dc.subject	spatiotemporal chaos	en
dc.subject	coupled map lattices	en
dc.subject	evolution	en
dc.subject	optimisation	en
dc.subject	SOMA	en
dc.subject	complexity measures	en
dc.subject	mean mutual information	en
dc.subject	mean information gain	en
dc.description.abstract	This contribution deals with the application of complexity measures as alternative cost functions for the control of a spatiotemporal deterministic chaos represented by coupled map lattices. Mean mutual information and mean information gain is applied, along with a common I-norm based cost function. Optimization is done through the self-organizing migrating algorithm. Aim of this study is to see whether the specific properties of the above measures can be exploited in spatiotemporal deterministic chaos control.	en
utb.faculty	Faculty of Applied Informatics
dc.identifier.uri	http://hdl.handle.net/10563/1001965
utb.identifier.obdid	43865432
utb.identifier.scopus	2-s2.0-84857712176
utb.identifier.wok	000239980600083
utb.source	d-wok
dc.date.accessioned	2011-08-09T07:34:19Z
dc.date.available	2011-08-09T07:34:19Z
utb.contributor.internalauthor	Navrátil, Eduard
utb.contributor.internalauthor	Zelinka, Ivan
utb.contributor.internalauthor	Šenkeřík, Roman
utb.fulltext.affiliation	Eduard Navratil Ivan Zelinka Roman Senkerik Department of Applied Informatics Faculty of Applied Informatics Tomas Bata University in Zlin Nad Stranemi 4511, Zlin 76005, Czech Republic enavratil@fai.utb.cz , zelinka@fai.utb.cz , senkerik@fai.utb.cz AUTHOR BIOGRAPHIES EDUARD NAVRATIL was born in the Czech Republic, reached his master degree in Mathematical Engineering at the Brno University of Technology in 2003. He is currently a Ph.D. student (information flow in complex systems and their control) at Tomas Bata University in Zlin. His e-mail address is: enavratil@fai.utb.cz IVAN ZELINKA was born in the Czech Republic, and went to the Brno University of Technology, where he studied technical cybernetics and obtained his master degree in 1995. He obtained Ph.D. degree in technical cybernetics in 2001 at Tomas Bata University in Zlin. Now he is an associated profesor (artificial intelligence, theory of information) and head of department. His e-mail address is: zelinka@ft.utb.cz and his Web-page can be found at http://www.ft.utb.cz/people/zelinka. ROMAN SENKERIK was born in the Czech Republic, and went to the Tomas Bata University in Zlin, where he studied technical cybernetics and obtained his degree in 2004. He is now a Ph.D. student (control of chaos by evolutionary algorithms) at the same university. His e-mail address is: senkerik@fai.utb.cz
utb.fulltext.dates	-
utb.fulltext.references	Andrienko Yu.A., Brilliantov N.V., Kurths J. 2000. “Complexity of two-dimensional patterns”, European Physical Journal B, vol. 15, pp 539 – 546 Greboki C., Lai Y.C. 1999. Controlling Chaos, In: Schuster H.G., Handbook of Chaos Control, WileyVch, ISBN 3-527-29436-8 Guanrong Chen. 2000. Controlling Chaos and Bifurcations in Engineering Systems, CRC Press, ISBN 0-8493-0579-9 Hilborn R.C. 1994. Chaos and Nonlinear Dynamics, Oxford University Press, ISBN 0-19-508816-8 Hu G., Xie F., Xiao J., Yang J., Qu Z. 1999. Control of Patterns and Spatiotemporal Chaos and its Application, In: Schuster H.G., Handbook of Chaos Control, Wiley-Vch, ISBN 3-527-29436-8 Li, Wentian. 1990. “Mutual Information Function versus Correlation Functions”, Journal of Statistical Physics, vol. 60, pp 823 – 837 Ott E., Greboki C., Yorke J.A. 1990. “Controlling Chaos”, Phys. Rev. Lett. 64, 1196 Schuster H.G. 1999. Handbook of Chaos Control, Wiley-Vch, ISBN 3-527-29436-8 Shannon, C. E., 1948. “A Mathematical Theory of Communications”, The Bell System Technical Journal, Vol. 27, pp 379 – 423, 623 – 656 Wackerbauer R., Witt A., Atmanspacher H., Kurths J., Scheingraber H. 1994. “A Comparative Classification of Complexity Measures” Chaos, Solitons & Fractals, vol 4., no. 1., pp 133 - 173 Zelinka Ivan. 2004. SOMA – Self Organizing Migrating Algorithm“,Chapter 7, 33 p. in: B.V. Babu, G. Onwubolu (eds), New Optimization Techniques in Engineering, Springer-Verlag, ISBN 3-540-20167X Zelinka Ivan. 2005. “Investigation on Evolutionary Deterministic Chaos Control – Extended Study” In: ECMS 2005, Riga, Latvia, in June 1-4, 2005
utb.fulltext.sponsorship	This work was supported by the grant NO. MSM 7088352101 of the Ministry of Education of the Czech Republic and by grants of Grant Agency of the Czech Republic GACR 102/06/1132 and GACR 102/05/0271.
utb.fulltext.projects	MSM 7088352101
utb.fulltext.projects	GACR 102/06/1132
utb.fulltext.projects	GACR 102/05/0271