摘要
混沌映射已经是动力系统领域一个不可忽视的分支,对线段上自映射迭代的研究还有很多不完善的地方,有许多地方亟待发展.在前人的研究基础上,根据ω-极限轨迹的特点将其分为各种情况,得到线段连续自映射混沌现象的两个充分条件,为进一步揭示混沌现象的本质提供了一种可以从ω-极限点轨迹特点的角度进行研究的全新途径.
Chaos mapping is an important branch in the field of dynamical system. The research into self - mapping iteration on segment is not complete and many issues about this need to be broken through. Based on the former research and according to the characteristics of ω - limit locus, chaos mapping is classified into various conditions and then two enough conditions of continuous self - mapping chaos phenomena on segment are gained. In order to further reveal the essence of chaos phenomena,a brand - new way to study chaos mapping from the angle of the characteristics of ω - limit point locus is provided.
出处
《重庆工商大学学报（自然科学版）》
2006年第4期329-330,共2页
Journal of Chongqing Technology and Business University:Natural Science Edition
关键词
混沌映射
周期点集
ω-极限点集
chaos mapping
period point set
ω -limit point set
