Dynamical Properties and Chaos of the Multicellular Converter Associated With a Nonlinear Load

Philippe Djondiné (1) , Jean-Pierre Barbot (2)

1 ECS-Lab - Électronique et Commande des Systèmes Laboratoire
2 NON-A - Non-Asymptotic estimation for online systems

The multicellular chopper connected with a nonlinear load is investigated by detailed theoretical and analysis as well as dynamic simulation, including some basic dynamical properties, Lyapunov exponent, fractal dimension, bifurcation diagrams and routes to chaos. In the parameter space where the equilibria of the system are both asymptotically stable, chaotic attractors coexist with period attractors and stable equilibria. Our system displays 2 scroll chaotic attractors for certain values of its parameters.

Mots clés: equilibria and stability; chaos; chaotic attractors; multicellular converter; Lyapunov exponent

Domaines: Sciences de l'ingénieur [physics]

Philippe Djondiné, Jean-Pierre Barbot. Dynamical Properties and Chaos of the Multicellular Converter Associated With a Nonlinear Load. International Journal of Advanced Research in Electrical, Electronics and Instrumentation Engineering, 2017, 6 (11), pp.8014-8022. ⟨10.15662/IJAREEIE.2017.0611018⟩. ⟨hal-01896731⟩