C2 robust heterodimensional tangencies on heterodimensional cycles
| Project/Area Number |
22540226
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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 | Kyoto University of Education |
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Principal Investigator |
KIRIKI Shin 京都教育大学, 教育学部, 教授 (50277232)
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| Co-Investigator(Kenkyū-buntansha) |
SOMA Terhiko 首都大学東京, 理工学研究科, 教授 (50154688)
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 非双曲性 / ヘテロ次元サイクル / ホモクリニック分岐 / 力学系 / 大域解析学 / トポロジー / 非双曲 / ホモクリニック / ストレンジ・アトラクタ / 双曲性 / 分岐 / ストレンジアトラクタ / エノン写像 |
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| Research Abstract |
We study diffeomorphisms having heterodimensional cycles containing a heterodimensional tangency. The main results of this study are the following:
(1) Arbitrarily close such a situation, we show existence of diffeomorphisms which have strange attractors
(2) and detect an open set of diffeomorphisms having C2 Newhouse phenomenon.
(3) Moreover, we show that such a critical cycle is robust in the C2 topology.
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Report
(4 results)
Research Products
(26 results)
