2012 Fiscal Year Final Research Report
A study on the dynamics of two dimensional polynomial skew products
| Project/Area Number |
21540203
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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 |
Basic analysis
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| Research Institution | Tokyo Polytechnic University |
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Principal Investigator |
NAKANE Shizuo 東京工芸大学, 工学部, 教授 (50172359)
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| Project Period (FY) |
2009 – 2012
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| Keywords | 複素解析 / 複素力学系 / Axiom A / skew product / base Julia集合 / fiber Julia集合 / saddle basic set |
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| Research Abstract |
Investigating the link between postcritical behaviors and the relations of saddle basic sets for Axiom A polynomial skew products on C2, we characterized some properties of the three kinds of accumulation sets of the critical set in terms of the saddle basic sets. We also showed that these properties are preserved in the hyperbolic components. We gave an example with a property characteristic to the higher degree maps.
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