Integrability conditions for complex kukles systems
MetadataShow full item record
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.
Is part ofDynamical Systems-An International Journal, 2017, vol. 32, núm. 2, p. 211-220
European research projects
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 ...