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Paper details
Number 4 - December 2014
Volume 24 - 2014
Efficiency analysis of control algorithms in spatially distributed systems with chaotic behavior
Łukasz Korus
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.
Keywords
controlling spatiotemporal chaos, coupled map lattice, system stability, Lyapunov exponents, net direction phase