Stability and Exact Multiplicity of Periodic Solutions of Duffing Equations with Cubic Nonlinearities
Document Type
Article
Publication Date
3-27-2007
Abstract
We study the stability and exact multiplicity of periodic solutions of the Duffing equation with cubic nonlinearities. We obtain sharp bounds for h such that the equation has exactly three ordered T-periodic solutions. Moreover, when h is within these bounds, one of the three solutions is negative, while the other two are positive. The middle solution is asymptotically stable, and the remaining two are unstable.
Repository Citation
Chen, H.,
& Li, Y.
(2007). Stability and Exact Multiplicity of Periodic Solutions of Duffing Equations with Cubic Nonlinearities. Proceedings of the American Mathematical Society, 135 (12), 3925-3932.
https://corescholar.libraries.wright.edu/math/88
