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Volume 3, Issue 2
The Hopf Bifurcations in the Permanent Magnet Synchronous Motors

Bo Sang

DOI: 10.12150/jnma.2021.179

J. Nonl. Mod. Anal., 3 (2021), pp. 179-191.

Published online: 2021-04

[An open-access article; the PDF is free to any online user.]

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  • Abstract

Based on the focus quantities and other techniques, the stability properties of equilibria and the limit cycles arising from Hopf bifurcations are investigated for two models of permanent magnet synchronous motors. The first model is of surface-magnet type and can have at most two unstable small limit cycles, which are symmetric with respect to $x$-axis. The other model is of interior-magnet type and can have at most four small limit cycles in two symmetric nests.

  • Keywords

Focus quantity, Limit cycle, Hopf bifurcation.

  • AMS Subject Headings

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COPYRIGHT: © Global Science Press

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@Article{JNMA-3-179, author = {Sang , Bo}, title = {The Hopf Bifurcations in the Permanent Magnet Synchronous Motors}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2021}, volume = {3}, number = {2}, pages = {179--191}, abstract = {

Based on the focus quantities and other techniques, the stability properties of equilibria and the limit cycles arising from Hopf bifurcations are investigated for two models of permanent magnet synchronous motors. The first model is of surface-magnet type and can have at most two unstable small limit cycles, which are symmetric with respect to $x$-axis. The other model is of interior-magnet type and can have at most four small limit cycles in two symmetric nests.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2021.179}, url = {http://global-sci.org/intro/article_detail/jnma/18785.html} }
TY - JOUR T1 - The Hopf Bifurcations in the Permanent Magnet Synchronous Motors AU - Sang , Bo JO - Journal of Nonlinear Modeling and Analysis VL - 2 SP - 179 EP - 191 PY - 2021 DA - 2021/04 SN - 3 DO - http://doi.org/10.12150/jnma.2021.179 UR - https://global-sci.org/intro/article_detail/jnma/18785.html KW - Focus quantity, Limit cycle, Hopf bifurcation. AB -

Based on the focus quantities and other techniques, the stability properties of equilibria and the limit cycles arising from Hopf bifurcations are investigated for two models of permanent magnet synchronous motors. The first model is of surface-magnet type and can have at most two unstable small limit cycles, which are symmetric with respect to $x$-axis. The other model is of interior-magnet type and can have at most four small limit cycles in two symmetric nests.

Sang , Bo. (2021). The Hopf Bifurcations in the Permanent Magnet Synchronous Motors. Journal of Nonlinear Modeling and Analysis. 3 (2). 179-191. doi:10.12150/jnma.2021.179
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