报告题目：Semi-conjugacies between m-horseshoe maps and n-horseshoe maps

报告人：石勇国  内江师范学院

报告人简介：博士，内江师范学院特聘教授，研究方向：低维动力系统

时间：9月28号（周四）下午4：30

地点：管理科研楼1518教室

摘要：The conjugacy problem is one of the central questions in dynamical systems. Many works have devoted to conjugacy problems of horseshoe maps with the same number of laps, which is a kind of continuous, piecewise monotone interval maps. This paper considers semi-conjugacies from m-horseshoe maps to n-horseshoe maps for m > n ≥ 2. We first give neworientation-preserving/reversing partition on their domains. Then by Matkowski's fixed point principle we prove the existence of semi-conjugacies from m-horseshoe maps to n-horseshoe maps. We construct some sequences of functions to approximate these semi-conjugacies, and show that these semi-conjugacies are Holder continuous and nowhere differentiable. Finally, an example is given for a piecewise linear 4-horseshoe maps and a piecewise linear 3-horseshoe map.

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