Journal article
Torus bifurcations in multilevel converter systems
This paper considers the processes of torus formation and reconstruction through smooth and nonsmooth bifurcations in a pulse-width modulated DC/DC converter with multilevel control. When operating in a regime of high corrector gain, converters of this type can generate structures of stable tori embedded one into the other and with their basins of attraction delineated by intervening repelling tori.
The paper illustrates the coexistence of three stable tori with different resonance behaviors and shows how reconstruction of these tori takes place across the borders of different dynamical regimes. The paper also demonstrates how pairs of attracting and repelling tori emerge through border-collision torus-birth and border-collision torus-fold bifurcations. © 2011 World Scientific Publishing Company.
Language: | English |
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Year: | 2011 |
Pages: | 2343-2356 |
ISSN: | 17936551 and 02181274 |
Types: | Journal article |
DOI: | 10.1142/S0218127411029835 |