
Digital Library of the
European Council for Modelling and Simulation 
Title: 
Evolutionary Synthesis Of Control Law For Higher Periodic Orbits Of
Chaotic Logistic Equation 
Authors: 
Roman Senkerik, Zuzana Oplatková, Ivan Zelinka, Roman Jasek 
Published in: 
(2011).ECMS
2011 Proceedings edited by: T. Burczynski, J. Kolodziej, A. Byrski, M. Carvalho. European Council for Modeling and Simulation. doi:10.7148/2011 ISBN:
9780956494429 25^{th}
European Conference on Modelling and Simulation, Jubilee Conference Krakow,
June 710, 2011

Citation
format: 
Senkerik, R., Oplatkova,
Z., Zelinka, I., & Jasek,
R. (2011). Evolutionary Synthesis Of Control Law For Higher Periodic Orbits
Of Chaotic Logistic Equation. ECMS 2011 Proceedings edited by: T. Burczynski, J. Kolodziej, A. Byrski, M. Carvalho
(pp. 452458). European Council for Modeling and Simulation. doi:10.7148/201104520458 
DOI: 
http://dx.doi.org/10.7148/201104520458 
Abstract: 
This research deals with a
synthesis of control law for selected discrete chaotic system by means of
analytic programming. The novelty of the approach is that a tool for symbolic
regression – analytic programming  is used for the purpose of stabilization
of higher periodic orbits – oscillations between several values of chaotic
system. The paper consists of the descriptions of analytic programming as
well as chaotic system and used blackbox type cost
function. For experimentation, SelfOrganizing Migrating Algorithm (SOMA)
with analytic programming and Differential evolution (DE) as second algorithm
for metaevolution were used. 
Full
text: 