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Abstract: Recent investigations on the bifurcation behavior of power electronic dc-dc converters has revealed that most of the observed bifurcations do not belong to generic classes like saddle-node, period doubling or Hopf bifurcations. Since these systems yield piecewise smooth maps under stroboscopic sampling, a new class of bifurcations occur in such systems when a fixed point crosses the "border" between the smooth regions in the state space. In this paper we present a systematic analysis of such... (Update)
Context of citations to this paper: More
...This is basically a bifurcation sequence expressed as = c . We suspect this to be a case of border collision bifurcation [12]. Border collision bifurcation is a well understood phenomenon in piecewise linear systems and has been shown responsible for chaos in...
.... This technique has been utilized before for different clocked systems in power electronics for modeling the dynamics of power converters [12]. Following similar arguments it seems reasonable to model TCPRED dynamics as a discrete map. Although one would prefer that the sampling...
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BibTeX entry: (Update)
S. Banerjee, P. Ranjan and C. Grebogi, "Bifurcations in twodimensional piecewise smooth maps - Theory and applications in switching circuits," IEEE Trans. on Circuits and Systems--I: Fundamental Theory and Applications, Vol. 47, no. 5, pp. 633-643, 2000. http://citeseer.ist.psu.edu/banerjee00bifurcations.html More
@misc{ banerjee00bifurcations,
author = "S. Banerjee and P. Ranjan and C. Grebogi",
title = "Bifurcations in twodimensional piecewise smooth maps - Theory and applications
in switching circuits",
text = "S. Banerjee, P. Ranjan and C. Grebogi, Bifurcations in twodimensional piecewise
smooth maps - Theory and applications in switching circuits, IEEE Trans.
on Circuits and Systems--I: Fundamental Theory and Applications, Vol. 47,
no. 5, pp. 633-643, 2000.",
year = "2000",
url = "citeseer.ist.psu.edu/banerjee00bifurcations.html" }
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3 Nonlinear modeling and bifurcations in the boost converter (context) - Banerjee, Chakrabarty - 1998
3 Instability and chaos in a current-mode controlled C'uk conv.. (context) - Tse, Chan - 1995
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2 Bifurcations in one-dimensional piecewise smooth maps --- th.. (context) - Banerjee
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1 Anomalous bifurcations in dc-dc converters: borderline colli.. (context) - Banerjee, Ott et al. - 1997
1 Analysis of the chaotic regime for dc-dc converters under cu.. (context) - Marrero, Font et al. - 1996
1 A singular bifurcation into instant chaos in a piecewise lin.. (context) - Ohnishi, Inaba - 1994
1 Servei de Publicacions de la UPC (context) - Olivar, the et al. - 1997
1 Border-collision bifurcations: an explanation for observed b.. (context) - Nusse, Ott et al. - 1994
1 Universal behavior of impact oscillators near grazing incide.. (context) - Chin, Ott et al. - 1995
1 Study of bifurcations in current-programmed dc/dc boost conv.. - Chan, Tse - 1997
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