On two-parameter non-smooth bifurcations in power converters

F. Angulo; M. De Bernardo; S. J. Hogan; G. Olivar

doi:10.1109/ISCAS.2005.1464880

On two-parameter non-smooth bifurcations in power converters

F. Angulo^*, M. De Bernardo, S. J. Hogan, G. Olivar

^*Corresponding author for this work

Research output: Contribution to conference › Conference Paper

6 Citations (Scopus)

Abstract

The dynamics of DC/DC power converters, modelled by a set of differential equations with discontinuous righthand side is studied. Period-doubling and corner-collision bifurcations are found to occur close to each other under small parameter variations. Closer examination of the parameter space seem to indicate the occurrence of a codimension-2 bifurcation that has not been reported so far in the literature and it corresponds to a corner-collision bifurcation of a non-hyperbolic cycle. The bifurcation boundaries are computed analytically in this paper and the system dynamics are unfolded close to the novel bifurcation point.

Original language	English
Pages	1485-1488
Number of pages	4
DOIs	https://doi.org/10.1109/ISCAS.2005.1464880
Publication status	Published - 1 Dec 2005
Event	IEEE International Symposium on Circuits and Systems 2005, ISCAS 2005 - Kobe, Japan Duration: 23 May 2005 → 26 May 2005

Conference

Conference	IEEE International Symposium on Circuits and Systems 2005, ISCAS 2005
Country	Japan
City	Kobe
Period	23/05/05 → 26/05/05

Access to Document

10.1109/ISCAS.2005.1464880

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Angulo, F., De Bernardo, M., Hogan, S. J., & Olivar, G. (2005). On two-parameter non-smooth bifurcations in power converters. 1485-1488. Paper presented at IEEE International Symposium on Circuits and Systems 2005, ISCAS 2005, Kobe, Japan. https://doi.org/10.1109/ISCAS.2005.1464880

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abstract = "The dynamics of DC/DC power converters, modelled by a set of differential equations with discontinuous righthand side is studied. Period-doubling and corner-collision bifurcations are found to occur close to each other under small parameter variations. Closer examination of the parameter space seem to indicate the occurrence of a codimension-2 bifurcation that has not been reported so far in the literature and it corresponds to a corner-collision bifurcation of a non-hyperbolic cycle. The bifurcation boundaries are computed analytically in this paper and the system dynamics are unfolded close to the novel bifurcation point.",

author = "F. Angulo and {De Bernardo}, M. and Hogan, {S. J.} and G. Olivar",

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doi = "10.1109/ISCAS.2005.1464880",

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AU - Angulo, F.

AU - De Bernardo, M.

AU - Hogan, S. J.

AU - Olivar, G.

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N2 - The dynamics of DC/DC power converters, modelled by a set of differential equations with discontinuous righthand side is studied. Period-doubling and corner-collision bifurcations are found to occur close to each other under small parameter variations. Closer examination of the parameter space seem to indicate the occurrence of a codimension-2 bifurcation that has not been reported so far in the literature and it corresponds to a corner-collision bifurcation of a non-hyperbolic cycle. The bifurcation boundaries are computed analytically in this paper and the system dynamics are unfolded close to the novel bifurcation point.

AB - The dynamics of DC/DC power converters, modelled by a set of differential equations with discontinuous righthand side is studied. Period-doubling and corner-collision bifurcations are found to occur close to each other under small parameter variations. Closer examination of the parameter space seem to indicate the occurrence of a codimension-2 bifurcation that has not been reported so far in the literature and it corresponds to a corner-collision bifurcation of a non-hyperbolic cycle. The bifurcation boundaries are computed analytically in this paper and the system dynamics are unfolded close to the novel bifurcation point.

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