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

Department of Engineering Mathematics

Research output: Contribution to conference › Conference Paper › peer-review

7 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/Territory	Japan
City	Kobe
Period	23/05/05 → 26/05/05

Research Groups and Themes

Engineering Mathematics Research Group

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10.1109/ISCAS.2005.1464880

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title = "On two-parameter non-smooth bifurcations in power converters",

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",

year = "2005",

month = dec,

day = "1",

doi = "10.1109/ISCAS.2005.1464880",

language = "English",

pages = "1485--1488",

note = "IEEE International Symposium on Circuits and Systems 2005, ISCAS 2005 ; Conference date: 23-05-2005 Through 26-05-2005",

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T1 - On two-parameter non-smooth bifurcations in power converters

AU - Angulo, F.

AU - De Bernardo, M.

AU - Hogan, S. J.

AU - Olivar, G.

PY - 2005/12/1

Y1 - 2005/12/1

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.

UR - http://www.scopus.com/inward/record.url?scp=54749092435&partnerID=8YFLogxK

U2 - 10.1109/ISCAS.2005.1464880

DO - 10.1109/ISCAS.2005.1464880

M3 - Conference Paper

AN - SCOPUS:54749092435

SP - 1485

EP - 1488

T2 - IEEE International Symposium on Circuits and Systems 2005, ISCAS 2005

Y2 - 23 May 2005 through 26 May 2005

ER -

On two-parameter non-smooth bifurcations in power converters

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