Abstract

ABSTRACTThe important step in studying the qualitative behavior of non-linear dynamicalsystem is how to detect the presence of chaos. There are several methods that usedto determine the presence of chaos signature. This paper presents a proposedmethod in detecting the presence of chaos. This method combines two techniquesnamely: the normal form analysis and largest Lyapunov exponent (LLE). Computerprograms were generated to investigate these two techniques and the proposeddetecting method. An example was given to furnish the herein given computeralgebra techniques based on real applications. The obtained results in this workwere verified with that published by other researchers. The proposed method canprovide highly active and efficient ability when studying the nature of non-lineardynamical systems and its chaotic presence.

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