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Polynomial differential systems having a given Darbouxian first integral

Author
Llibre, J.; Pantazi, C.
Type of activity
Journal article
Journal
Bulletin des sciences mathématiques
Date of publication
2004-10
Volume
128
Number
9
First page
775
Last page
788
URL
http://hdl.handle.net/2117/1212 Open in new window
Abstract
The Darbouxian theory of integrability allows to determine when a polynomial differential system in C2 has a first integral of the kind f λ1 1 ···f λp p exp(g/h) where fi , g and h are polynomials in C[x, y], and λi ∈ C for i = 1, . . . ,p. The functions of this form are called Darbouxian functions. Here, we solve the inverse problem, i.e. we characterize the polynomial vector fields in C2 having a given Darbouxian function as a first integral. On the other hand, using information about ...
Citation
Llibre, Jaume; Pantazi, Chara. “Polynomial differential systems having a given Darbouxian first integral”. Bulletin des sciences mathématiques, 2004, vol. 128, núm. 9, p. 775-788.
Group of research
SD - UPC Dynamical Systems

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