二维立方映象流域边界的结构和解析表示  

STRUCTURE AND ANALYTICAL EXPRESSION OF THE BASIN BOUNDARY OF A TWO-DIMENSIONAL CUBIC MAP

作　　者：吕树臣[1] 韩赋[1] 

机构地区：[1]哈尔滨师范大学

出　　处：《哈尔滨师范大学自然科学学报》1992年第3期39-42,共4页Natural Science Journal of Harbin Normal University

摘　　要：本文采用函数分析法进一步研究了二雏立方映象的流域边界的结构和解析性质。构造了流域边界的解析形式,给出了流域的全部边界并发现流域边界在参量变化的情况下从光滑变到分形发生在该边界自身上。Structure and analytical properties of the basin boundary of a two-dimensional cubic map are investigated further in the present paper by using functional analysis. The analytical formalism of the basin boundary is given, and all of the basin boundary are found. We find in this paper that the basin boundary changing from being smooth to being fractal occur on the basin boundary itself as a parameter of the system is varied

关 键 词：分形 流域边界 奇怪吸引子 吸奇子 

分 类 号：O302[理学—力学]