Rate of Decay of Stable Periodic Solutions of Duffing Equations
Hongbin Chen, Yi Li
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.
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