论文信息 - Stability Implications of Bendixson's Criterion

Stability Implications of Bendixson's Criterion

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.

C. Connell McCluskey | James S. Muldowney

[1] R. A. Smith,et al. Some applications of Hausdorff dimension inequalities for ordinary differential equations , 1986, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

[2] F. Verhulst. Nonlinear Differential Equations and Dynamical Systems , 1989 .

[3] C. M. Place,et al. Ordinary Differential Equations , 1982 .