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Rate of Decay of Stable Periodic Solutions of Duffing Equations

Hongbin Chen·Yi Li
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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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Hongbin Chen, Yi Li. 2007-03-27. Rate of Decay of Stable Periodic Solutions of Duffing Equations. https://arxiv.org/abs/math/0703816

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