一维动力系统轨道问题的研究

The Research on Orbits of One-dimensional Dynamics Systems

一维动力系统轨道问题的研究,在动力系统中占有重要地位,受到众多科学工作者的普遍关注.轨道的回复性,尤其是周期点的研究,是一维动力系统轨道研究中的首要问题.近三十余年来,许多人通过轨道类型来讨论周期点.因此,澄清各种定义的关系是必要的.

The research on orbits of one-dimensional dynamics occupies an important place in dynamical systems.More and more scholars pay close attention to it.It is a chief problem that the research on the recurrence of orbits, especially on periodic orbits.In recent over thirty years, many scholars researched periodic points by orbit types.So it is necessary to clear the relations between distinct notions of kinds of definitions.In this paper,we discuss the relations about centrifugal point and multi-separation, and prove the relations between turbulent which defined in [1] and them.