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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.

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