Non-existence of limit cycles via inverse integrating factors

Autor: Leonardo Laura-Guarachi, Osvaldo Osuna, Gabriel Villasenor-Aguilar
Jazyk: angličtina
Rok vydání: 2011
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2011, Iss 124,, Pp 1-6 (2011)
Druh dokumentu: article
ISSN: 1072-6691
Popis: It is known that if a planar differential systems has an inverse integrating factor, then all the limit cycles contained in the domain of definition of the inverse integrating factor are contained in the zero set of this function. Using this fact we give some criteria to rule out the existence of limit cycles. We also present some applications and examples that illustrate our results.
Databáze: Directory of Open Access Journals