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.
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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)
Articles > Research articles
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