Quasi-Periodicity and Border-Collision Bifurcations in a DC-DC Converter with Pulsewidth Modulation

Publication: Research - peer-reviewJournal article – Annual report year: 2003

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Quasi-Periodicity and Border-Collision Bifurcations in a DC-DC Converter with Pulsewidth Modulation. / Zhusubalaliyev, Zh. T.; Soukhoterin, E.A.; Mosekilde, Erik.

In: IEEE Transactions on Circuits And Systems Part I: Regular Papers, Vol. 50, No. 8, 2003, p. 1047-1057.

Publication: Research - peer-reviewJournal article – Annual report year: 2003

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Zhusubalaliyev, Zh. T.; Soukhoterin, E.A.; Mosekilde, Erik / Quasi-Periodicity and Border-Collision Bifurcations in a DC-DC Converter with Pulsewidth Modulation.

In: IEEE Transactions on Circuits And Systems Part I: Regular Papers, Vol. 50, No. 8, 2003, p. 1047-1057.

Publication: Research - peer-reviewJournal article – Annual report year: 2003

Bibtex

@article{9b7482670c7c4ed6bf641bd2cf654951,
title = "Quasi-Periodicity and Border-Collision Bifurcations in a DC-DC Converter with Pulsewidth Modulation",
publisher = "IEEE Circuits and Systems Society",
author = "Zhusubalaliyev, {Zh. T.} and E.A. Soukhoterin and Erik Mosekilde",
note = "Copyright: 2003 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE",
year = "2003",
doi = "10.1109/TCSI.2003.815196",
volume = "50",
number = "8",
pages = "1047--1057",
journal = "IEEE Transactions on Circuits And Systems Part I: Regular Papers",
issn = "1057-7122",

}

RIS

TY - JOUR

T1 - Quasi-Periodicity and Border-Collision Bifurcations in a DC-DC Converter with Pulsewidth Modulation

A1 - Zhusubalaliyev,Zh. T.

A1 - Soukhoterin,E.A.

A1 - Mosekilde,Erik

AU - Zhusubalaliyev,Zh. T.

AU - Soukhoterin,E.A.

AU - Mosekilde,Erik

PB - IEEE Circuits and Systems Society

PY - 2003

Y1 - 2003

N2 - The paper considers the dynamics of a dc-dc converter with pulsewidth modulation. The typical scenario for the transition to chaos in such systems proceeds via quasi-periodicity, resonance cycles, and torus destruction. Detailed bifurcation analysis shows that the resonance solutions arise via border-collision bifurcations (BCB) on a two-dimensional torus. The arrangement of the resonance domains within the parameter plane is related to the Farey series, and their internal structure is described. It is shown that transitions to chaos mainly occur through finite sequences of BCB. Some other possible causes of complex dynamics are considered, including a subcritical Neimark-Sacker (Andronov-Hopf) bifurcation and the associated hysteretic phenomena.

AB - The paper considers the dynamics of a dc-dc converter with pulsewidth modulation. The typical scenario for the transition to chaos in such systems proceeds via quasi-periodicity, resonance cycles, and torus destruction. Detailed bifurcation analysis shows that the resonance solutions arise via border-collision bifurcations (BCB) on a two-dimensional torus. The arrangement of the resonance domains within the parameter plane is related to the Farey series, and their internal structure is described. It is shown that transitions to chaos mainly occur through finite sequences of BCB. Some other possible causes of complex dynamics are considered, including a subcritical Neimark-Sacker (Andronov-Hopf) bifurcation and the associated hysteretic phenomena.

U2 - 10.1109/TCSI.2003.815196

DO - 10.1109/TCSI.2003.815196

JO - IEEE Transactions on Circuits And Systems Part I: Regular Papers

JF - IEEE Transactions on Circuits And Systems Part I: Regular Papers

SN - 1057-7122

IS - 8

VL - 50

SP - 1047

EP - 1057

ER -