Analysis of Chaotic Phenomena by the Hitting Time Distribution of Dynamical Systems
| Project/Area Number |
20540214
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Global analysis
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| Research Institution | Tokyo Metropolitan University |
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Principal Investigator |
HIRATA Masaki Tokyo Metropolitan University, 大学院・理工学研究科, 助教 (70254141)
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| Co-Investigator(Renkei-kenkyūsha) |
SHIMOMURA Akihiro 首都大学東京, 大学院・理工学研究科, 准教授 (00365066)
SUMI Naoya 東京工業大学, 大学院・理工学研究科, 准教授 (50301411)
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| Project Period (FY) |
2008 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | 非線形現象 / カオス / 力学系 |
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| Research Abstract |
We have studied the stochastic properties of chaotic dynamical systems in which very complex motions appear by the analysis of the hitting time, that is, the time in which an orbit hit to some fixed domain. Especially, in the case of non-uniformly hyperbolic dynamical system which is a "weak chaos", we showed that the different distribution from the one of the typical chaotic system appears. And, we also studied the stochastic properties of the meeting time distribution, that is, the time in which different orbits come close.
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Report
(4 results)
Research Products
(18 results)
