Phase portraits of quadratic polynomial differential systems having as solution some classical planar algebraic curves of degree 4
We classify the phase portraits of quadratic polynomial differential systems having some relevant classic quartic algebraic curves as invariant algebraic curves, i.e. these curves are formed by orbits of the quadratic polynomial differential system.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2019-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2019/15/abstr.html |
| Summary: | We classify the phase portraits of quadratic polynomial differential
systems having some relevant classic quartic algebraic curves as
invariant algebraic curves, i.e. these curves are formed by orbits of
the quadratic polynomial differential system. |
|---|---|
| ISSN: | 1072-6691 |