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

Łukasz Korus

International Journal of Applied Mathematics and Computer Science (2014)

  • Volume: 24, Issue: 4, page 759-770
  • ISSN: 1641-876X

Abstract

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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.

How to cite

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Łukasz Korus. "Efficiency analysis of control algorithms in spatially distributed systems with chaotic behavior." International Journal of Applied Mathematics and Computer Science 24.4 (2014): 759-770. <http://eudml.org/doc/271898>.

@article{ŁukaszKorus2014,
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.},
author = {Łukasz Korus},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {controlling spatiotemporal chaos; coupled map lattice; system stability; Lyapunov exponents; net direction phase},
language = {eng},
number = {4},
pages = {759-770},
title = {Efficiency analysis of control algorithms in spatially distributed systems with chaotic behavior},
url = {http://eudml.org/doc/271898},
volume = {24},
year = {2014},
}

TY - JOUR
AU - Łukasz Korus
TI - Efficiency analysis of control algorithms in spatially distributed systems with chaotic behavior
JO - International Journal of Applied Mathematics and Computer Science
PY - 2014
VL - 24
IS - 4
SP - 759
EP - 770
AB - 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.
LA - eng
KW - controlling spatiotemporal chaos; coupled map lattice; system stability; Lyapunov exponents; net direction phase
UR - http://eudml.org/doc/271898
ER -

References

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