2009 Fiscal Year Final Research Report
The study on the scenarios for chaotic itinerancy
| Project/Area Number |
18340021
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Hokkaido University |
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Principal Investigator |
TSUDA Ichiro Hokkaido University, 電子科学研究所, 教授 (10207384)
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| Co-Investigator(Kenkyū-buntansha) |
YURI Michiko 北海道大学, 大学院・理学研究院, 教授 (70174836)
TSUJII Masato 九州大学, 数理学研究院, 教授 (20251598)
NAMIKI Takao 北海道大学, 大学院・理学研究院, 教授 (40271712)
KOMURO Motomasa 帝京科学大学, 医療科学部, 教授 (00186818)
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| Project Period (FY) |
2006 – 2009
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| Keywords | カオス力学系 / 非線形科学 / 複雑系科学 / 科学技術数学 |
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| Research Abstract |
We have proposed four scenarios on the mechanisms of chaotic itinerancy : 1. the appearance of triplet {Milnor attractors, riddled basin, chaotic invariant set} ; 2. the presence of the invariant set on which the entrance and the exit sets appears such as on-off intermittency; 3. the appearance of normally hyperbolic invariant manifolds ; 4. the presence of fractal basin boundaries with multiple stable states. The other possibility under the appearance of hetero-dimensional cycle was also pointed out.
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Research Products
(36 results)
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[Presentation] Chaotic dynamics reality in brain dynamics2007
Author(s)
I. Tsuda
Organizer
Invited talk in International Conference in honor of Y. Pesin and Y. Takahashi on their 60th birthdays, "Dynamics of Complex Systems" -mathematical modelling, method and prediction-
Place of Presentation
Hokkaido University, Sapporo
Year and Date
20070319-20070320
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[Book] カオスー力学系入門2007
Author(s)
津田一郎, (監訳) 星野高志, 松本和宏, 黒田拓, 阿部巨仁 (訳)
Total Pages
1-209
Publisher
シュプリンガー
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[Book] カオスー力学系入門2006
Author(s)
津田一郎 (監訳), 星野高志, 松本和宏, 黒田拓, 阿部巨仁 (訳)
Total Pages
1-227
Publisher
シュプリンガー
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