| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
The discrete dynamical system is a subject to examine the topological behavior of the orbits of homeomorphisms. We have many results on the dynamical study of the circle. In this study, we raised the dimension and studied diffeomorphisms of surfaces. As a result, we constructed a diffeomorphism of a surface with a connected minimal set which is not locally connected. Furthermore, we obtain some characterization of the dynamical behavior of diffeomorphisms of the surfaces. Among the compact invariant sets, the minimal sets in terms of the inclusion are called minimal sets. The orbits always wind around the minimal sets. In this sense, it is an important mathematical advance to find a new minimal set.
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