Title: Stability study and dynamical analysis of the multicellular chopper

Authors: Philippe Djondiné; Jean-Pierre Barbot; Malek Ghanes

Addresses: Department of Physics, Faculty of Science, The University of Ngaoundere, Cameroon; QUARTZ EA 7393, ENSEA, 6, avenue du Ponceau, CS20707 Cergy, 95014 Cergy-Pontoise Cedex, France ' ECS-Lab, EA3649, ENSEA, Cergy Cedex, Cergy-Pontoise 95014, France; QUARTZ EA 7393, ENSEA, 6, avenue du Ponceau, CS20707 Cergy, 95014 Cergy-Pontoise Cedex, France ' ECS-Lab, EA3649, ENSEA, Cergy Cedex, Cergy-Pontoise 95014, France; QUARTZ EA 7393, ENSEA, 6, avenue du Ponceau, CS20707 Cergy, 95014 Cergy-Pontoise Cedex, France

Abstract: The dynamical properties of a two-cells chopper connected to a particular nonlinear load are described in this paper. Some interesting and complex attractors are obtained. We analyse the system by means of Lyapunov exponents, fractal dimension, Poincaré mapping, first return, bifurcation diagram and phase portraits, respectively. Our model is described by a continuous time three-dimensional non-autonomous system and displays two-scroll chaotic attractors for certain values of its parameters. The numerical simulation is used to figure out their chaotic attractors. The analysis results show clearly that this is a new chaotic system which deserves further detailed investigation. Finally, phase portraits are obtained by using MATLAB/Simulink, which validates the theoretical analysis results.

Keywords: chaotic behaviour; multicellular converter; nonlinear dynamics; dynamical properties; dissipative dynamics; equilibria and stability.

DOI: 10.1504/IJSPM.2018.094739

International Journal of Simulation and Process Modelling, 2018 Vol.13 No.5, pp.486 - 495

Received: 23 Oct 2017
Accepted: 27 Mar 2018
Published online: 14 Sep 2018 *

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