Abstract
As in the lecture given at the Conference, this paper intends to give an impression of what has become known so far about the phase portraits of quadratic systems in the plane. By a quadratic system is understood the system of two autonomous differential equations in the plane, where = and P(x, y) and Q(x, y) are relative prime polynomials, which are not both linear. A phase portrait of (1) is the geometrical picture formed from the solution curves (orbits, trajectories or paths) of the equation fy(2)169-2 in the x, y (or phase) plane.
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Reyn, J.W. (1997). Phase Portraits of Quadratic Systems. In: van Groesen, E., Soewono, E. (eds) Differential Equations Theory, Numerics and Applications. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5157-3_8
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DOI: https://doi.org/10.1007/978-94-011-5157-3_8
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