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Pàgina inicial > Articles > Articles publicats > On a Class of Invariant Algebraic Curves for Kukles Systems |
Data: | 2016 |
Resum: | 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. |
Nota: | 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. |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Invariant curve ; Kukles system |
Publicat a: | Electronic Journal of Qualitative Theory of Differential Equations, Vol. 61 (2016) , p. 1-12, ISSN 1417-3875 |
Postprint 13 p, 299.6 KB |