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| The Hopf Bifurcations in the Permanent Magnet Synchronous Motors |
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| KeyWord:Focus quantity Limit cycle Hopf bifurcation |
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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. |
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