Periodic orbits for real planar polynomial vector fields of degreenhavingninvariant straight lines taking into account their multiplicities

Jaume Llibre, Ana Wendell O Rodrigues
2015 Electronic Journal of Qualitative Theory of Differential Equations  
We study the existence and non-existence of periodic orbits and limit cycles for planar polynomial differential systems of degree n having n real invariant straight lines taking into account their multiplicities. The polynomial differential systems with n = 1, 2, 3 are completely characterized. 2010 Mathematics Subject Classification. 34C05, 34A34, 34C14.
doi:10.14232/ejqtde.2015.1.55 fatcat:4qv7vlhinjalvmu6lxhcawhatq