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Modelling and Simulation in Engineering
Volume 2008, Article ID 798395, 6 pages
Research Article

Chaotic Behavior in a Switched Dynamical System

1Laboratoire Toulousain des Technologies et Ingénierie des Systèmes (LATTIS), INSA, 135 Avenue de Rangueil, 31077 Toulouse Cedex 4, France
2LabSIV-FS, University Ibn Zohr, P. O. Box 28/S, Agadir 80000, Morocco
3ESSI, ENSA, University Ibn Zohr, P. O. Box 1136, Agadir 80000, Morocco

Received 4 September 2007; Revised 1 January 2008; Accepted 6 February 2008

Academic Editor: Igor Kotenko

Copyright © 2008 Fatima El Guezar and Hassane Bouzahir. 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.


We present a numerical study of an example of piecewise linear systems that constitute a class of hybrid systems. Precisely, we study the chaotic dynamics of the voltage-mode controlled buck converter circuit in an open loop. By considering the voltage input as a bifurcation parameter, we observe that the obtained simulations show that the buck converter is prone to have subharmonic behavior and chaos. We also present the corresponding bifurcation diagram. Our modeling techniques are based on the new French native modeler and simulator for hybrid systems called Scicos (Scilab connected object simulator) which is a Scilab (scientific laboratory) package. The followed approach takes into account the hybrid nature of the circuit.