A Novel Method for Detecting the Chaotic Behavior in Dynamical Systems With Applications on Chua's System

Abstract

The important step in studying the qualitative behavior of non-linear dynamical system is how to detect the presence of chaos. There are several methods that used to determines the presence of chaos signature. This paper presents a novel method in detecting the presence of chaos. The method combined two techniques namely: the normal form analysis and largest Lyapunov exponent (LLE). Computerized algebraic programs were generated to investigate these two techniques. An example was given to furnish the herein given computer algebra techniques based on real applications. The results obtained in this work were verified with results published by other researchers. The suggested method can provide highly active and efficient ability when studying the nature of non-linear dynamical systems and its chaotic presence.