Global phase portraits of quadratic systems with a complex ellipse as invariant algebraic curve
In this paper we study a new class of quadratic systems and classify all its phase portraits. More precisely, we characterize the class of all quadratic polynomial differential systems in the plane having a complex ellipse x^2 y^2 1=0 as invariant algebraic curve. We provide all the different topolo...
| Authors: | , |
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| Format: | article |
| Publication Date: | 2018 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:199331 |
| Online Access: | https://ddd.uab.cat/record/199331 https://dx.doi.org/urn:doi:10.1007/s10114-017-5478-y |
| Access Level: | Open access |
| Keyword: | Complex ellipse Invariant algebraic curves Phase portrait Quadratic system |
| Summary: | In this paper we study a new class of quadratic systems and classify all its phase portraits. More precisely, we characterize the class of all quadratic polynomial differential systems in the plane having a complex ellipse x^2 y^2 1=0 as invariant algebraic curve. We provide all the different topological phase portraits that this class exhibits in the Poincaré disc. |
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