Darboux invariants for planar polynomial differential systems having an invariant conic

Llibre, Jaume; Messias, Marcelo; Reinol, Alisson C.

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/116244

Title:

Darboux invariants for planar polynomial differential systems having an invariant conic

Author(s):

Institution:

Univ Autonoma Barcelona
Universidade Estadual Paulista (UNESP)

ISSN:

0044-2275

Sponsorship:

MINECO/FEDER
Generalitat de Catalunya
ICREA Academia
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Sponsorship Process Number:

MINECO/FEDERMTM2008-03437
Generalitat de Catalunya2009SGR-410
CNPq: 308315/2012-0
FAPESP: 12/18413-7
FAPESP: 13/01743-7
FP7-PEOPLE-2012-IRSES 316338
318999

Abstract:

We characterize all the planar polynomial differential systems with a unique invariant algebraic curve given by a real conic and having a Darboux invariant.

Issue Date:

1-Dec-2014

Citation:

Zeitschrift Fur Angewandte Mathematik Und Physik. Basel: Springer Basel Ag, v. 65, n. 6, p. 1127-1136, 2014.

Time Duration:

1127-1136

Publisher:

Springer

Keywords:

Polynomial differential systems
Invariant conics
Darboux integrability
Darboux invariant

Source:

http://dx.doi.org/10.1007/s00033-013-0390-5

URI:

Access Rights:

Acesso restrito

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/116244

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