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Mathematical Problems in Engineering
Volume 2009, Article ID 238960, 35 pages
Review Article

Modeling Nonlinear Dynamics and Chaos: A Review

1Departamento de Engenharia Eletrônica da UFMG, Universidade Federal de Minas Gerais, Avenida Antônio Carlos 6627, 31270-901 Belo Horizonte, MG, Brazil
2CORIA UMR 6614, Université de Rouen, Avenue de l'Université, BP 12, 76801 Saint-Etienne du Rouvray Cedex, France

Received 28 January 2009; Accepted 24 February 2009

Academic Editor: Elbert E. Neher Macau

Copyright © 2009 Luis A. Aguirre and Christophe Letellier. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper reviews the major developments of modeling techniques applied to nonlinear dynamics and chaos. Model representations, parameter estimation techniques, data requirements, and model validation are some of the key topics that are covered in this paper, which surveys slightly over two decades since the pioneering papers on the subject appeared in the literature.