Integrability conditions for complex kukles systems
Fecha de publicación2017
MetadatosMostrar el registro completo del ítem
In this paper, we provide necessary and sufficient conditions for the existence of local analytic first integrals for a seventh-parameter family of complex cubic systems called the complex Kukles systems.
Es parte deDynamical Systems-An International Journal, 2017, vol. 32, núm. 2, p. 211-220
Showing items related by title, author, creator and subject.
Giné, Jaume; Llibre, Jaume; Valls, Claudia (London Mathematical Society, 2015)For the polynomial differential system x˙ = −y, y˙ = x+Qn(x; y), where Qn(x; y) is a homogeneous polynomial of degree n there are the following two conjectures done in 1999. (1) Is it true that the previous system for ...
Giné, Jaume; Valls, Claudia (Elsevier, 2016)We consider a complex differential system with a resonant saddle that remind the classical Liénard systems in the real plane. For such systems we determine the conditions of analytic integrability of the resonant saddle.
Giné, Jaume; Valls, Claudia (Elsevier, 2016)Using tools of computer algebra based on the Gröbner basis theory we derive conditions for the existence of a center on a local center manifold for fifteen seven-parameter families of quadratic systems on R 3. To obtain ...