Universitat Politècnica de Catalunya
Universitat Politècnica de Catalunya. Departament de Física Aplicada
Universitat Politècnica de Catalunya. CEMAD - Caracterització Elèctrica de Materials i Dispositius
2009-11-05
This paper is concerned with the analysis of two-parameter bifurcation phenomena in the buck power converter. It is shown that the complex dynamics of the converter can be unfolded by considering higher codimension bifurcation points in two-parameter space. Specifically, standard smooth bifurcations are shown to merge with discontinuity-induced bifurcation (DIB) curves, giving rise to intricate bifurcation scenarios. The analytical results are compared with those obtained numerically, showing excellent agreement between the analytical predictions and the numerical observations. The existence of these two-parameter bifurcation phenomena involving DIBs and smooth bifurcations, predicted in [P. Kowalczyk et al., Internat. J. Bifur. Chaos Appl. Sci. Engrg., 16 (2006), pp. 601–629; A. Colombo and F. Dercole, SIAM J. Appl. Dyn. Syst., submitted], is confirmed in this important class of systems.
Postprint (published version)
Article
English
Àrees temàtiques de la UPC::Física; Differentiable dynamical systems; Differential equations; Bifurcation theory; Sistemes dinàmics diferenciables; Equacions diferencials ordinàries; Bifurcació, Teoria de la; Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications; Classificació AMS::34 Ordinary differential equations::34C Qualitative theory; Classificació AMS::37 Dynamical systems and ergodic theory::37G Local and nonlocal bifurcation theory
http://dx.doi.org/10.1137/080741434
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Open Access
Attribution-NonCommercial-NoDerivs 3.0 Spain
E-prints [73020]
