Dynamical studyof the parameter space for the complexHenon family
| Project/Area Number |
21740125
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Global analysis
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| Research Institution | Kyushu University |
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Principal Investigator |
ISHII Yutaka 九州大学, 数理学研究院, 准教授 (20304727)
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| Project Period (FY) |
2009 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 複素力学系 / ジュリア集合 / iterated monodromy group / Henon 写像 / Julia 集合 / Henon写像 / Julia集合 / Hubbard tree / IMG / Hubbard Tree |
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| Research Abstract |
Although the complex Henon map is regarded as one of the most standard holomorphic dynamical systems in complex dimension two, the dynamical studyof its Julia set from the topological and combinatorial viewpoint has not been well developed. We introduced a combinatorial model called the Hubbard tree for such map and developed an algebraic formalism called the iterated monodromy group. Moreover, together with the help of numerical experiments, we also analyzed the dynamical structurein the parameter space of the Henon family.
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Report
(5 results)
Research Products
(21 results)
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[Presentation] Homotopy kernel2012
Author(s)
Yutaka Ishii
Organizer
New Developments in Complex Dynamical Systems
Place of Presentation
RIMS at Kyoto University, Kyoto, Japan
Related Report
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