Based on the correlation principle, an algorithm to decomposite the damped free vibration signals of a two degrees of freedom system with close natural frequencies is put forward.

于单一频率成分的自由衰振动响应信号的相关原理，提出了一种频率密集成分的两耦合振子自由衰振动响应信号的解耦算法。

This homotopic method is an approximate analysis method, which can be more used for analyzing other behavior of the sea surface temperature anomaly of the atmosphere-ocean oscillator model.

本同伦方法是近似的的解析方法，它能进一步分析海-气振子的海表温度异常的态。