A study on the dynamics of two dimensional polynomial skew products
Project/Area Number |
21540203
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Basic analysis
|
Research Institution | Tokyo Polytechnic University |
Principal Investigator |
NAKANE Shizuo 東京工芸大学, 工学部, 教授 (50172359)
|
Project Period (FY) |
2009 – 2012
|
Project Status |
Completed (Fiscal Year 2012)
|
Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
|
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 / relation / holomorphic motion / polynomial skew product / base Julia set / solenoid / 危点集合 / 安定多様体 / 不安定多様体 |
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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Report
(5 results)
Research Products
(26 results)