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 |
| _version_ | 1811298252675350528 |
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| author | Rebiha Benterki Jaume Llibre |
| author_facet | Rebiha Benterki Jaume Llibre |
| author_sort | Rebiha Benterki |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-13T06:16:46Z |
| format | Article |
| id | doaj.art-f369242b4fc741248842a04d9adc69b3 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-13T06:16:46Z |
| publishDate | 2019-01-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-f369242b4fc741248842a04d9adc69b32022-12-22T02:58:48ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912019-01-01201915,125Phase portraits of quadratic polynomial differential systems having as solution some classical planar algebraic curves of degree 4Rebiha Benterki0Jaume Llibre1 Univ. Bachir El Ibrahimi, El Anasser, Algeria Univ. Autonoma de Barcelona, Catalonia, Spain 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.http://ejde.math.txstate.edu/Volumes/2019/15/abstr.htmlQuadratic differential systemPoincare discinvariant algebraic curve |
| spellingShingle | Rebiha Benterki Jaume Llibre Phase portraits of quadratic polynomial differential systems having as solution some classical planar algebraic curves of degree 4 Electronic Journal of Differential Equations Quadratic differential system Poincare disc invariant algebraic curve |
| title | Phase portraits of quadratic polynomial differential systems having as solution some classical planar algebraic curves of degree 4 |
| title_full | Phase portraits of quadratic polynomial differential systems having as solution some classical planar algebraic curves of degree 4 |
| title_fullStr | Phase portraits of quadratic polynomial differential systems having as solution some classical planar algebraic curves of degree 4 |
| title_full_unstemmed | Phase portraits of quadratic polynomial differential systems having as solution some classical planar algebraic curves of degree 4 |
| title_short | Phase portraits of quadratic polynomial differential systems having as solution some classical planar algebraic curves of degree 4 |
| title_sort | phase portraits of quadratic polynomial differential systems having as solution some classical planar algebraic curves of degree 4 |
| topic | Quadratic differential system Poincare disc invariant algebraic curve |
| url | http://ejde.math.txstate.edu/Volumes/2019/15/abstr.html |
| work_keys_str_mv | AT rebihabenterki phaseportraitsofquadraticpolynomialdifferentialsystemshavingassolutionsomeclassicalplanaralgebraiccurvesofdegree4 AT jaumellibre phaseportraitsofquadraticpolynomialdifferentialsystemshavingassolutionsomeclassicalplanaralgebraiccurvesofdegree4 |