Poincare-Bendixson Theorem

Thursday, May 11, 2017 - 11:30am
111 MSB
Nathan J. Jewkes (Advisor: Prof. Stephen Montgomery-Smith)

The Poincare-Bendixson theorem is one of the key theoretical results in nonlinear dynamics.  It establishes that closed orbits exist in particular systems. It guarantees the behavior of certain systems in 2 dimensional space. In this paper we prove the Poincare-Bendixson Theorem and offer an example of its application.