<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The paper presents results of examination of control algorithms for the purpose of controlling chaos in spatially distributed systems like the coupled map lattice (CML). The mathematical definition of the CML, stability analysis as well as some basic results of numerical simulation exposing complex, spatiotemporal and chaotic behavior of the CML were already presented in another paper. The main purpose of this article is to compare the efficiency of controlling chaos by simple classical algorithms in spatially distributed systems like CMLs. This comparison is made based on qualitative and quantitative evaluation methods proposed in the previous paper such as the indirect Lyapunov method, Lyapunov exponents and the net direction phase indicator. As a summary of this paper, some conclusions which can be useful for creating a more efficient algorithm of controlling chaos in spatially distributed systems are made.</p></abstract>

The paper presents results of examination of control algorithms for the purpose of controlling chaos in spatially distributed systems like the coupled map lattice (CML). The mathematical definition of the CML, stability analysis as well as some basic results of numerical simulation exposing complex, spatiotemporal and chaotic behavior of the CML were already presented in another paper. The main purpose of this article is to compare the efficiency of controlling chaos by simple classical algorithms in spatially distributed systems like CMLs. This comparison is made based on qualitative and quantitative evaluation methods proposed in the previous paper such as the indirect Lyapunov method, Lyapunov exponents and the net direction phase indicator. As a summary of this paper, some conclusions which can be useful for creating a more efficient algorithm of controlling chaos in spatially distributed systems are made.

Efficiency analysis of control algorithms in spatially distributed systems with chaotic behavior

Institute of Computer Engineering, Control and Robotics Wrocław University of Technology, Janiszewskiego 11/17, 50-372 Wrocław, Poland

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

The paper presents results of examination of control algorithms for the purpose of controlling chaos in spatially distributed systems like the coupled map...

Efficiency analysis of control algorithms in spatially distributed systems with chaotic behavior

Published Online: Dec 20, 2014

Page range: 759 - 770

Received: Jul 07, 2013

DOI: https://doi.org/10.2478/amcs-2014-0056

© by Łukasz Korus

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.