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.
Recommended Citation
McCluskey, C. Connell and Muldowney, James S., "Stability Implications of Bendixson’s Criterion" (1998). Mathematics Faculty Publications. 30.
https://scholars.wlu.ca/math_faculty/30
COinS
Comments
This article was originally published in SIAM Review, 40(4): 931-934. © 1998 Society for Industrial and Applied Mathematics.