中文摘要：

通过研究两维的Lauwerier映射，得到Lauwerier奇怪吸引子的一个解析表达式．研究了二次映射的反演极限空间上移位映射的动力学性质，建立了投影映射，运用反演极限空间理论研究Lauwerier映射，证明了Lauwerier映射限制在其吸引子上与二次映射的反演极限上的移位映射是拓扑半共扼的，从而得到Lauwerier吸引子是Devaney意义下混沌的．

英文摘要：

A two dimensional Lauwerier mapping was studied and an analytical expression of the strange attractor was obtained. The dynamic properties of the shift map on the inverse limit space of the quadratic mapping were investigated. The projection mapping was established. Then the Lauwerier mapping was studied based on the theory of inverse limit space. It is proved that the Lauwerier mapping restricted to its attractor is topological｜y semi-conjugate to the shift map on the inverse limit space of the quadratic mapping; therefore the Lauwerier strange at- tractor is chaotic in the sense of Devaney.