Source: wikibot/poincare-bendixson-theorem
= Poincaré–Bendixson theorem
{wiki=Poincaré–Bendixson_theorem}
The Poincaré–Bendixson theorem is a fundamental result in the field of dynamical systems, particularly concerning the behavior of continuous dynamical systems in two dimensions. It addresses the long-term behavior of trajectories in a planar (2-dimensional) system described by a set of ordinary differential equations.