【摘要】 论述了Cantor集、随机Cantor集的精细结构及它的几何性质和拓扑性质,并在文献[1～3]的基础上分析了Logistic函数和Smale马蹄映射中产生的Cantor集和二维cantor集,从三分cantor集出发讨论物种生长动态系统和马蹄映射中产生的浑沌集,揭示了分形几何、动态映射与浑沌集的密切关系.更多还原

【Abstract】 In this paper, the fine structure of the cantor set and the random cantor set are discussed as well as their geometric and topology property. the Logistic function the cantor set and the two dimension cantor set formed from Smale U-form mapping are analysed.meanwhile, the close relation between fractal geomery, dynamic mapping and chaos set are promulgated.更多还原