A PROPOSED METHOD FOR DETECTING THE CHAOTIC BEHAVIOUR IN DYNAMICAL SYSTEMS | ||
| The International Conference on Applied Mechanics and Mechanical Engineering | ||
| Article 12, Volume 16, 16th International Conference on Applied Mechanics and Mechanical Engineering., May 2014, Pages 1-13 PDF (443.49 K) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/amme.2014.35494 | ||
| Authors | ||
| A. A. Mohamed; S. H. Darwish | ||
| Faculty of Engineering, Pharos University, Alexandria, Egypt. | ||
| Abstract | ||
| 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. | ||
| Keywords | ||
| Chaos; Normal form; Largest Lyapunov exponent | ||
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