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Preliminary results of deterministic chaos control through complexity measures

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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=
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.
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