On a Class of Invariant Algebraic Curves for Kukles Systems
Osuna, Osvaldo (UMSNH(México). Instituto de Física y Matemáticas)
Rebollo-Perdomo, Salomón (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Villaseñor, Gabriel (Instituto Tecnológico de Morelia(México). Departamento de Ciencias Básicas)

Date:	2016
Abstract:	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 transversal to infinity invariant algebraic curve is integrable.
Note:	Agraïments: We would like to thank the anonymous referee for the careful reading of our manuscript and for providing us with constructive comments and useful suggestions, which helped to improve the manuscript.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Invariant curve ; Kukles system
Published in:	Electronic Journal of Qualitative Theory of Differential Equations, Vol. 61 (2016) , p. 1-12, ISSN 1417-3875

DOI: 10.14232/ejqtde.2016.1.61

Postprint 13 p, 299.6 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
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