Liouvillian first integrals for quadratic systems with an integrable saddle

Autor: Claudia Valls, Yudy Bolaños, Jaume Llibre

Publikováno v: Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Rocky Mountain J. Math. 45, no. 6 (2015), 1765-1779
Recercat. Dipósit de la Recerca de Catalunya
instname
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona

Agraïments: The second author was supported by Portuguese National Funds through FCT - Fundacâo para a Ciência e a Tecnologia within the project PTDC/MAT/117106/2010 and by CAMGSD. We provide explicit expressions for the Liouvillian first integral

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f9d394249d89966ba1d041c49b7df453
http://hdl.handle.net/2072/413407

On the number of invariant conics for the polynomial vector fields defined on quadrics

Autor: Yudy Bolaños, Jaume Llibre, Claudia Valls

Publikováno v: Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Recercat. Dipósit de la Recerca de Catalunya
instname
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)

Agraïments: The third author is supported by the grants AGAUR PIV-DGR-2010 and by FCT through CAMGD The quadrics here considered are the nine real quadrics: parabolic cylinder, elliptic cylinder, hyperbolic cylinder, cone, hyperboloid of one sheet,

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5f902d7b7623f2f002d81704244c0b84
https://doi.org/10.1016/j.bulsci.2013.04.003