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Pàgina inicial > Articles > Articles publicats > Algebraic limit cycles for quadratic polynomial differential systems |
Data: | 2018 |
Resum: | We prove that for a quadratic polynomial differential system having three pairs of diametrally opposite equilibrium points at infinity that are positively rationally independent, has at most one algebraic limit cycle. Our result provides a partial positive answer to the following conjecture: Quadratic polynomial differential systems have at most one algebraic limit cycle. |
Ajuts: | European Commission 318999 Ministerio de Economía y Competitividad MTM2016-77278-P Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Algebraic limit cycles ; Quadratic polynomial differential system ; Quadratic polynomial vector field |
Publicat a: | Discrete and continuous dynamical systems. Series B, Vol. 23, issue 6 (2018) , p. 2475-2485, ISSN 1553-524X |
Postprint 13 p, 709.8 KB |