Periodic orbits for real planar polynomial vector fields of degree $n$ having $n$ invariant straight lines taking into account their multiplicities
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.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2015-09-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=3779 |
| Summary: | 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. |
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| ISSN: | 1417-3875 |