Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2020: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2019: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2018: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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Outline of Final Research Achievements |
We found new examples which exhibit wild dynamical behaviors in partially hyperbolic dynamics and homoclinic tangency. In the mechanism generating wild behavior, higher differentiabiity and information of higher differential plays important roles. In the route to find such examples, we also found a pair of Cantor sets in higher dimension which exhibits C1-stable intersection. It is contrast to the one-dimensional case where no pair of Cantor sets exhibits C1-stable intersection. We also characterized R-coveredness of a three-dimensionaltopologically transitive Anosov flow by topological information of its Birkhoff section.
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