Global phase portraits for quadratic systems with a hyperbola and a straight line as invariant algebraic curves
In this article we consider a class of quadratic polynomial differential systems in the plane having a hyperbola and a straight line as invariant algebraic curves, and we classify all its phase portraits. Moreover these systems are integrable and we provide their first integrals.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2018-07-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2018/141/abstr.html |
| Summary: | In this article we consider a class of quadratic polynomial differential
systems in the plane having a hyperbola and a straight line as
invariant algebraic curves, and we classify all its phase portraits.
Moreover these systems are integrable and we provide their first integrals. |
|---|---|
| ISSN: | 1072-6691 |