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Página principal > Artículos > Artículos publicados > Uniqueness of Limit Cycle For Liénard differential Equations of Degree Four |
Fecha: | 2012 |
Resumen: | We prove that any classical Liénard differential equation of degree four has at most one limit cycle, and the limit cycle is hyperbolic if it exists. This result gives a positive answer to the conjecture by A. Lins, W. de Melo and C. C. Pugh [4] in 1977 about the number of limit cycles for polynomial Liénard differential equations for n = 4. |
Ayudas: | Ministerio de Ciencia y Tecnología MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 |
Nota: | Agraïments: The first author is supported by NSFC-10831003 and by CICYT grant number 2009PIV00064. |
Derechos: | Tots els drets reservats. |
Lengua: | Anglès |
Documento: | Article ; recerca ; Versió acceptada per publicar |
Materia: | Liénard equations ; Limit cycle |
Publicado en: | Journal of differential equations, Vol. 252 (2012) , p. 3142-3162, ISSN 1090-2732 |
Postprint 22 p, 370.2 KB |