What this difference causes in maths is that the iterative sequence of the common nonlinear time series model develops one markov chain on general state space or multiple markov chain , while the iterative sequence of nonlinear time series models 1 , 2 , 3 in random environment have not possessed such better nature 這個不同之處在數(shù)學上引起的后果是:一般非線性時間序列模型的迭代序列形成一個一般狀態(tài)馬爾可夫鏈或多重馬爾可夫鏈;而隨機環(huán)境下的非線性時間序列模型1 , 2和3的迭代序列,卻無此良好的性質(zhì)。