dc.contributor
Universitat Politècnica de Catalunya. Departament de Física Aplicada
dc.contributor
Universitat Politècnica de Catalunya. CEMAD - Caracterització Elèctrica de Materials i Dispositius
dc.contributor.author
Colombo, Alessandro
dc.contributor.author
Lamiani, Paola
dc.contributor.author
Benadero García-Morato, Luis
dc.contributor.author
Bernardo, Mario di
dc.date.issued
2009-11-05
dc.identifier
Colombo, A. [et al.]. Two-parameter bifurcation analysis of the buck converter. "SIAM journal on applied dynamical systems", 05 Novembre 2009, vol. 8, núm. 4, p. 1507-1522.
dc.identifier
https://hdl.handle.net/2117/6260
dc.identifier
10.1137/080741434
dc.description.abstract
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.
dc.description.abstract
Postprint (published version)
dc.format
application/pdf
dc.relation
http://dx.doi.org/10.1137/080741434
dc.rights
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights
Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.subject
Àrees temàtiques de la UPC::Física
dc.subject
Differentiable dynamical systems
dc.subject
Differential equations
dc.subject
Bifurcation theory
dc.subject
Sistemes dinàmics diferenciables
dc.subject
Equacions diferencials ordinàries
dc.subject
Bifurcació, Teoria de la
dc.subject
Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications
dc.subject
Classificació AMS::34 Ordinary differential equations::34C Qualitative theory
dc.subject
Classificació AMS::37 Dynamical systems and ergodic theory::37G Local and nonlocal bifurcation theory
dc.title
Two-parameter bifurcation analysis of the buck converter