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Planar Quadratic Vector Fields with Finite Saddle Connection on a Straight Line (Non-convex Case)

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Abstract.

We classify the phase portraits of planar quadratic vector fields with a invariant straight line passing through two finite saddles, when the singularities of the field form a non-convex quadrilateral.

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  1. Departamento de Matemática, Universidade Federal de Minas Gerais, 30123-970, Belo, Horizonte, MG, Brazil

    Paulo César Carrião, Maria Elasir Seabra Gomes & Antonio Augusto Gaspar Ruas

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  1. Paulo César Carrião
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  2. Maria Elasir Seabra Gomes
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  3. Antonio Augusto Gaspar Ruas
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Correspondence to Paulo César Carrião.

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Carrião, P.C., Gomes, M.E.S. & Ruas, A.A.G. Planar Quadratic Vector Fields with Finite Saddle Connection on a Straight Line (Non-convex Case). Qual. Theory Dyn. Syst. 7, 417–433 (2009). https://doi.org/10.1007/s12346-008-0024-z

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  • DOI: https://doi.org/10.1007/s12346-008-0024-z

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