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Digital Library of the
European Council for Modelling and Simulation |
Title: |
Utilization Of Analytic Programming For The Stabilization Of High
Order Oscillations Of Chaotic Hénon Map |
Authors: |
Zuzana Oplatková, Roman Senkerik,
Ivan Zelinka, Donald Davendra |
Published in: |
(2012).ECMS
2012 Proceedings edited by: K. G. Troitzsch, M. Moehring, U. Lotzmann. European
Council for Modeling and Simulation. doi:10.7148/2012 ISBN:
978-0-9564944-4-3 26th
European Conference on Modelling and Simulation, Shaping reality through simulation Koblenz,
Germany, May 29 – June 1 2012 |
Citation
format: |
Oplatkova, Z., Senkerik,
R., Zelinka, I., & Davendra,
D. (2012). Utilization Of Analytic Programming For The Stabilization Of High
Order Oscillations Of Chaotic Hénon Map. ECMS 2012
Proceedings edited by: K. G. Troitzsch, M. Moehring, U. Lotzmann
(pp. 410-416). European Council for Modeling and Simulation. doi:10.7148/2012-0410-0416 |
DOI: |
http://dx.doi.org/10.7148/2012-0410-0416 |
Abstract: |
This research deals with a
utilization of tool for symbolic regression, which is analytic programming,
for the purpose of the synthesis of a new control law. This synthesized
chaotic controller secures the stabilization of high periodic orbit –
oscillations between several values of discrete chaotic system, which is Hénon map. The paper consists of the descriptions of
analytic programming as well as chaotic system, used heuristic and cost
function. For experimentation, Self-Organizing Migrating Algorithm (SOMA) and
Differential evolution (DE) were used. |
Full
text: |