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 determine the presence of chaos signature. This paper presents a proposed method in detecting the presence of chaos. This method combines two techniques namely: the normal form analysis and largest Lyapunov exponent (LLE). Computer programs were generated to investigate these two techniques and the proposed detecting method. An example was given to furnish the herein given computer algebra techniques based on real applications. The obtained results in this work were verified with that published by other researchers. The proposed method can provide highly active and efficient ability when studying the nature of non-linear dynamical systems and its chaotic presence.
Mohamed, A., & Darwish, S. (2014). A PROPOSED METHOD FOR DETECTING THE CHAOTIC BEHAVIOUR IN DYNAMICAL SYSTEMS. The International Conference on Applied Mechanics and Mechanical Engineering, 16(16th International Conference on Applied Mechanics and Mechanical Engineering.), 1-13. doi: 10.21608/amme.2014.35494
MLA
A. A. Mohamed; S. H. Darwish. "A PROPOSED METHOD FOR DETECTING THE CHAOTIC BEHAVIOUR IN DYNAMICAL SYSTEMS". The International Conference on Applied Mechanics and Mechanical Engineering, 16, 16th International Conference on Applied Mechanics and Mechanical Engineering., 2014, 1-13. doi: 10.21608/amme.2014.35494
HARVARD
Mohamed, A., Darwish, S. (2014). 'A PROPOSED METHOD FOR DETECTING THE CHAOTIC BEHAVIOUR IN DYNAMICAL SYSTEMS', The International Conference on Applied Mechanics and Mechanical Engineering, 16(16th International Conference on Applied Mechanics and Mechanical Engineering.), pp. 1-13. doi: 10.21608/amme.2014.35494
VANCOUVER
Mohamed, A., Darwish, S. A PROPOSED METHOD FOR DETECTING THE CHAOTIC BEHAVIOUR IN DYNAMICAL SYSTEMS. The International Conference on Applied Mechanics and Mechanical Engineering, 2014; 16(16th International Conference on Applied Mechanics and Mechanical Engineering.): 1-13. doi: 10.21608/amme.2014.35494
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