Quadratic vector fields with a weak focus of third order
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We study phase portraits of quadratic vector fields with a weak focus of third order at the origin. We show numerically the existence of at least 20 different global phase portraits for such vector fields coming from exactly 16 different local phase portraits available for these vector fields. Among these 20 phase portraits, 17 have no limit cycles and three have at least one limit cycle.
limit cycle, weak focus, bifurcation diagram, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, quadratic vector fields, local phase portraits, Poincaré disc
limit cycle, weak focus, bifurcation diagram, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, quadratic vector fields, local phase portraits, Poincaré disc
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