Document Type

Article

Publication Date

1998

Department

Mathematics

Abstract

This note presents a proof that the omega limit set of a solution to a planar system satisfying the Bendixson criterion is either empty or is a single equilibrium. The proof involves elementary techniques which should be accessible to senior undergraduates and graduate students.

Comments

This article was originally published in SIAM Review, 40(4): 931-934. © 1998 Society for Industrial and Applied Mathematics.

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