On a class of invariant algebraic curves for Kukles systems

Autor: Osvaldo Osuna, Salomón Rebollo-Perdomo, Gabriel Villaseñor-Aguilar

Publikováno v: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2016, Iss 61, Pp 1-12 (2016)

In this paper we give a new upper bound for the degree of a class of transversal to infinity invariant algebraic curves for polynomial Kukles systems of arbitrary degree. Moreover, we prove that a quadratic Kukles system having at least one transvers

Externí odkaz: https://doaj.org/article/49598231b7384f6ea0363fa2a7d7adc3

Medium amplitude limit cycles of some classes of generalized Liénard systems

Autor: Salomón Rebollo-Perdomo

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

Agraïments: Part of the results of this work come from the author's postdoctoral stay at the Departament de Matemàtiques of the Universitat Autònoma de Barcelona. The author would like to thank the Centre de Recerca Matem'atica for their support a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::87d22cc82814d7e5d90019da265cc973
http://hdl.handle.net/2072/408839

Bifurcation of limit cycles for a family of perturbed Kukles differential systems

Autor: Salomón Rebollo-Perdomo, Claudio Vidal

Publikováno v: Discrete & Continuous Dynamical Systems - A. 38:4189-4202

We consider an integrable non-Hamiltonian system, which belongs to the quadratic Kukles differential systems. It has a center surrounded by a bounded period annulus. We study polynomial perturbations of such a Kukles system inside the Kukles family.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a368a23a2c043c6994bca873d62e5037
https://doi.org/10.3934/dcds.2018182

Invariant Parallels, Invariant Meridians and Limit Cycles of Polynomial Vector Fields on Some 2-Dimensional Algebraic Tori in $$\mathbb R ^3$$ R 3

Autor: Jaume Llibre, Salomón Rebollo-Perdomo

Publikováno v: Journal of Dynamics and Differential Equations. 25:777-793

We consider the polynomial vector fields of arbitrary degree in \(\mathbb R ^3\) having the 2-dimensional algebraic torus $$\begin{aligned} \mathbb T ^2(l,m,n)=\{(x,y,z)\in \mathbb R ^3 : (x^{2l}+y^{2m}-r^2)^2+z^{2n}-1=0\}, \end{aligned}$$ where \(l,

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::40ac359eef731a1208379a0f95156b52
https://doi.org/10.1007/s10884-013-9315-4

Limit cycles bifurcation from isochronous surfaces of revolution in R^3

Autor: Jaume Llibre, Joan Torregrosa, Salomón Rebollo-Perdomo

Publikováno v: Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona

In this paper we study the number of limit cycles bifurcating from isochronous surfaces of revolution contained in R 3 , when we consider polynomial perturbations of arbitrary degree. The method for studying these limit cycles is based on the averagi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::22e979cbf1fe9ec54197fa3f1fe382ab
https://ddd.uab.cat/record/150429