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13 p, 667.0 KB Gradient systems of harmonic polynomials / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Ramírez, Oscar (Universidade Federal de Viçosa. Departamento de Matemática (Brazil))
We characterize all local phase-portraits of the finite and infinite singular points of the gradient systems defined by the real harmonic polynomials in two variables. We classify all the non-equivalent topological phase portraits of the gradient systems in the Poincaré disc defined by harmonic polynomials of degree less than five.
2020 - 10.1016/j.jde.2020.06.056
Journal of differential equations, Vol. 269, Issue 11 (November 2020) , p. 10073-10084  
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