Rate of Decay of Stable Periodic Solutions of Duffing Equations

Authors

Hongbin ChenFollow

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