Firstly , a two - dimensional decoupling theory is developed when colored noise is included in a nonlinear dynamical system . by a functional analysis , the colored noise is transformed to an effective noise that includes the noise correlation time , the mean dynamical variable , and the original noise strength 首先,我們發(fā)展了分析非線性系統(tǒng)中色噪聲的二維退耦理論,通過泛函分析,將二維非線性系統(tǒng)中的色噪聲變換成含有噪聲關(guān)聯(lián)時(shí)間、噪聲強(qiáng)度和系統(tǒng)變量平均值等參量的有效噪聲。