Quasi-homogeneous linearization of degenerate vector fields (Q2287232)
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| English | Quasi-homogeneous linearization of degenerate vector fields |
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Quasi-homogeneous linearization of degenerate vector fields (English)
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20 January 2020
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It is shown that the existence of the formal inverse integrating factor implies the orbital equivalence of the planar analytic systems to their leading terms under some technical conditions. Moreover, similar results are valid for some quasi-homogeneous ones. The idea of this work, I think, has the potential to be modified for more degenerated planar systems.
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analytic normalization
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degenerate vector fields
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inverse integrating factor
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