Focused on the technique , interaction and result of visualization , the system for transitional state visualization is put forward , which effectively promotes the transfer , analysis and synthesis course of transitional information with better visualizability , figurativeness and maneuverability . the main work of this dissertation is as follows : the main characteristics of transitional state , such as fuzziness , randomness , fractal and chaos , are concluded . based on the combination of the fuzzy mathematics , stochastic process , fractal and chaotic theory , the feature description model of transitional state is put forward to make itself the foundation of following visualization methods and applications 論文的主要工作包括:系統(tǒng)地提出了過渡狀態(tài)的特征刻畫模型,概括了過渡狀態(tài)的模糊性、隨機性以及分形性與混沌性等主要特性,結(jié)合模糊數(shù)學(xué)理論、隨機過程理論以及分形理論與混沌理論等,以過渡率、過渡集合等作為特征刻畫模型的主要內(nèi)容,以過渡映射作為特征刻畫的形成過程,有效地描述了過渡特征的漸變過程,為可視化方法與應(yīng)用的具體實現(xiàn)奠定了理論基礎(chǔ)。