| Budget Amount *help |
¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
1. In general, if non-hyperbolicity exists, it is expected that the increase of the number of periodic points of the system (with respect to the period) will be large. I proved this fact for a class of systems called partial hyperbolic dynamical system with some condition.2. A blender is an important mechanism for occurrence of non hyperbolic robustness against robustness (robustness). I investigated the visualization of the limiting set of systems having blenders which are given as quadratic polynomial maps.3. I studied the class of non-hyperbolic dynamical system called wild. I proved the existence of wild dynamical system among the class called volume hyperbolic systems.
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