Qualitative analysis of the phase portrait for a class of planar vector fields via the comparison method (Q880279)
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| English | Qualitative analysis of the phase portrait for a class of planar vector fields via the comparison method |
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Qualitative analysis of the phase portrait for a class of planar vector fields via the comparison method (English)
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15 May 2007
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The authors study systems of ordinary differential equations of the form \[ \dot x = y,\quad \dot y = \sum_{k=0}^nf_k(x)y^k. \] They prove theorems that guarantee existence or non-existence of a limit cycle surrounding the origin via the comparison method.
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limit cycle
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planar polynomial vector field
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