Title

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.

DOI

dx.doi.org/10.1016/j.jde.2007.01.023