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Rate of Decay of Stable Periodic Solutions of Duffing Equations

Research paper by Hongbin Chen, Yi Li

Indexed on: 27 Mar '07Published on: 27 Mar '07Published in: Mathematics - Classical Analysis and ODEs



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.