Bounded Quadratic Systems in the Plane*
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چکیده
This paper contains a study of those two-dimensional autonomous systems with quadratic polynomial right-hand sides which have all of their trajectories bounded for t > 0. Such systems will be referred to as bounded quadratic systems. It follows from the PoincarbBendixson Theorem that any such system will have a rest point in the plane and by translating the origin to that rest point it will have the form
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تاریخ انتشار 2003