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9-28吴文俊数学重点实验室动力系统系列讲座之五十二【石勇国】
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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