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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| Project Status |
Completed (Fiscal Year 2009)
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| Budget Amount *help |
¥10,460,000 (Direct Cost: ¥8,600,000、Indirect Cost: ¥1,860,000)
Fiscal Year 2009: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2008: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2007: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2006: ¥2,400,000 (Direct Cost: ¥2,400,000)
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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 / カオス的遍歴 / 高次元力学系 / on-off間欠性 / in-out間欠性 / ミルナーアトラクター / 出口集合 / 入り口集合 / カオス的不変集合 / ハイパーカオス / リドルドベイシン / 同期・非同期転移 |
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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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Report
(6 results)
Research Products
(121 results)
