© 2015, University of Szeged. All rights reserved. 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.
|Journal||Electronic Journal of Qualitative Theory of Differential Equations|
|Publication status||Published - 1 Jan 2015|
- Invariant straight lines
- Limit cycles
- Periodic orbits
- Polynomial differential systems
- Polynomial vector fields