2017 Fiscal Year Final Research Report
Analysis of non-hyperbolic systems through theories and numerical analysis
| Project/Area Number |
16K17609
|
|---|
| Research Category |
Grant-in-Aid for Young Scientists (B)
|
| Allocation Type | Multi-year Fund |
|---|
| Research Field |
Basic analysis
|
|---|
| Research Institution | Hitotsubashi University |
|---|
Principal Investigator |
|
|---|
| Project Period (FY) |
2016-04-01 – 2018-03-31
|
| Keywords | 非双曲型力学系 / 部分双曲型力学系 / 野生的力学系 / 周期点の増大度 / ブレンダー |
|---|
| 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.
|
| Free Research Field |
微分力学系
|
