On the Abel differential equations of third kind
Copyright policy )On the Abel differential equations of third kind
In this paper, using Poincaré compactification, the authors give a classification of the topological phase portraits of a special kind of quadratic differential systems, namely the Abel quadratic equation of third kind. The paper also describes the maximal number of polynomial solutions that Abel polynomial differential equations can have.
Abel polynomial differential equations, polynomial solution, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, phase portrait, Nonlinear ordinary differential equations and systems, vector fields
Abel polynomial differential equations, polynomial solution, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, phase portrait, Nonlinear ordinary differential equations and systems, vector fields
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