Morphisms and inverse problems for Darboux integrating factors
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Cita com:
hdl:2117/21360
Tipus de documentArticle
Data publicació2013-12
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Reconeixement-NoComercial-SenseObraDerivada 3.0 Espanya
Abstract
Polynomial vector fields which admit a prescribed Darboux integrat-
ing factor are quite well-understood when the geometry of the underlying curve is
nondegenerate. 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 restrictions on the nontrivial vector fields which admit a given integrating
factor.
CitacióLlibre, J.; Pantazi, C.; Walcher, S. Morphisms and inverse problems for Darboux integrating factors. "Proceedings of the Royal Society of Edinburgh. Section A, mathematics", Desembre 2013, vol. 143, núm. 6, p. 1291-1302.
ISSN0308-2105
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