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Title: Hopf bifurcation and chaos in a free-running current-controlled Ćuk switching regulator
Authors: Tse, CKM 
Lai, YM 
Iu, HHC
Issue Date: Apr-2000
Source: IEEE transactions on circuits and systems. I, Fundamental theory and applications, Apr. 2000, v. 47, no. 4, p. 448-457
Abstract: An autonomous free-running Ćuk converter is studied in this paper. Analysis of the describing nonlinear state equations shows that the system loses stability via a supercritical Hopf bifurcation. The boundary of stability is derived and local trajectories of motion studied. Cycle-by-cycle simulations of the actual system reveal the typical bifurcation from a stable equilibrium state to chaos, via limit cycles, and quasi-periodic orbits. Experimental measurements confirm the bifurcation scenarios. The occurrence of such kinds of bifurcation in autonomous dc/dc converters has been rarely known in power electronics.
Keywords: Bifurcation
Ćuk converter
DC/DC converter
Power electronics
Chaos
Publisher: Institute of Electrical and Electronics Engineers
Journal: IEEE transactions on circuits and systems. I, Fundamental theory and applications 
ISSN: 1057-7122
DOI: 10.1109/81.841847
Rights: © 2000 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.
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holders.
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