Morphisms and inverse problems for Darboux integrating factors
2013 ◽
Vol 143
(6)
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pp. 1291-1302
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Keyword(s):
Polynomial vector fields which admit a prescribed Darboux integrating factor are quite well understood when the geometry of the underlying curve is non-degenerate. In the general setting, morphisms of the affine plane may remove degeneracies of the curve, and thus allow more structural insight. In the present paper we establish some properties of integrating factors subjected to morphisms, and we discuss in detail one particular class of morphisms related to finite reflection groups. The results indicate that degeneracies for the underlying curve generally impose additional restrictions on vector fields admitting a given integrating factor.
2009 ◽
Vol 139
(2)
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pp. 287-302
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2020 ◽
Vol 23
(8)
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pp. 1585-1599
2007 ◽
Vol 17
(2)
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pp. 387-395
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2000 ◽
Vol 130
(3)
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pp. 633-649
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Keyword(s):
Keyword(s):
2004 ◽
Vol 198
(2)
◽
pp. 374-380
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Keyword(s):
Keyword(s):
2015 ◽
Vol 14
(3)
◽
pp. 1073-1095
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