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Morphisms and inverse problems for Darboux integrating factors

Autor
Llibre, J.; Pantazi, C.; Walcher, S.
Tipus d'activitat
Article en revista
Revista
Proceedings of the Royal Society of Edinburgh. Section A, mathematics
Data de publicació
2013-12
Volum
143
Número
6
Pàgina inicial
1291
Pàgina final
1302
DOI
https://doi.org/10.1017/S0308210511001430 Obrir en finestra nova
Projecte finançador
Dynamics associated to connections between invariant objects, astrodynamics, neuroscience and other applications
Orbitas Periódicas, bifurcaciones e integrabilidad de los sistemas din´amicos
Repositori
http://hdl.handle.net/2117/21360 Obrir en finestra nova
Resum
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...
Citació
Llibre, 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.
Paraules clau
Polynomial, Vector-fields, Curves
Grup de recerca
SD - Sistemes Dinàmics de la UPC

Participants

  • Llibre Saló, Jaume  (autor)
  • Pantazi, Chara  (autor)
  • Walcher, Sebastian  (autor)

Arxius