工程图学学报
工程圖學學報
공정도학학보
JOURNAL OF ENGINEERING GRAPHICS
2009年
6期
132-136
,共5页
计算机应用%迭代函数系统%Markov链%分形
計算機應用%迭代函數繫統%Markov鏈%分形
계산궤응용%질대함수계통%Markov련%분형
computer application%iterated function systems%markov chain%fractal
研究Markov迭代函数系统(MIFS)的转移概率矩阵与MIFS吸引子分形结构之间的关系.首先提出了分支Markov迭代函数系统的概念并将MIFS系统分解成若干分支系统,给出和证明了几个相关定理.然后讨论转移概率矩阵的零元素对吸引子结构的影响,分析吸引子的局部结构特征,发现MIFS系统吸引子包含自相似结构,基于计算机数学实验分析了吸引子分形形成的动力学特性并给予具体的定性描述.
研究Markov迭代函數繫統(MIFS)的轉移概率矩陣與MIFS吸引子分形結構之間的關繫.首先提齣瞭分支Markov迭代函數繫統的概唸併將MIFS繫統分解成若榦分支繫統,給齣和證明瞭幾箇相關定理.然後討論轉移概率矩陣的零元素對吸引子結構的影響,分析吸引子的跼部結構特徵,髮現MIFS繫統吸引子包含自相似結構,基于計算機數學實驗分析瞭吸引子分形形成的動力學特性併給予具體的定性描述.
연구Markov질대함수계통(MIFS)적전이개솔구진여MIFS흡인자분형결구지간적관계.수선제출료분지Markov질대함수계통적개념병장MIFS계통분해성약간분지계통,급출화증명료궤개상관정리.연후토론전이개솔구진적령원소대흡인자결구적영향,분석흡인자적국부결구특정,발현MIFS계통흡인자포함자상사결구,기우계산궤수학실험분석료흡인자분형형성적동역학특성병급여구체적정성묘술.
The relationship between transition probability matrix of Markov iterated function systems and the fractal attractor structure of MIFS is researched. Firstly, the filiation Markov iterated function systems is defined, and a MIFS system is broken down into several filiation systems. Secondly, the effect of zero elements in transition probability matrix is discussed. At last, dynamical characteristics of generating fractal image based on computer mathematical experiment is analyzed.
