Rate of Decay of Stable Periodic Solutions of Duffing Equations
Document Type
Article
Publication Date
5-2007
Abstract
In this paper, we consider the second-order equations of Duffing type. Bounds for the derivative of the restoring force are given that ensure the existence and uniqueness of a periodic solution. Furthermore, the stability of the unique periodic solution is analyzed; the sharp rate of exponential decay is determined for a solution that is near to the unique periodic solution.
Repository Citation
Chen, H.
(2007). Rate of Decay of Stable Periodic Solutions of Duffing Equations. Journal of Differential Equations, 236 (2), 493-503.
https://corescholar.libraries.wright.edu/math/91
DOI
dx.doi.org/10.1016/j.jde.2007.01.023
