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Two-parameter bifurcation analysis of the buck converter
Colombo, Alessandro; Lamiani, Paola; Benadero García-Morato, Luis; Bernardo, Mario di
Universitat Politècnica de Catalunya. Departament de Física Aplicada; Universitat Politècnica de Catalunya. CEMAD - Caracterització Elèctrica de Materials i Dispositius
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.
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
Attribution-NonCommercial-NoDerivs 3.0 Spain

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