2014 Fiscal Year Final Research Report
The study of special functions created by Borel-Laplace transform of Henon maps
| Project/Area Number |
24654040
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Global analysis
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| Research Institution | Ehime University |
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Principal Investigator |
HIRAIDE Koichi 愛媛大学, 理工学研究科, 准教授 (50181136)
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| Co-Investigator(Kenkyū-buntansha) |
MATSUOKA Chihiro 愛媛大学, 理工学研究科, 准教授 (10270266)
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Keywords | Borel-Laplace transform / dynamical systems / entropy / stable manifold / unstable manifold / Henon maps / special functions |
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| Outline of Final Research Achievements |
In this study, when a fxed point of a Henon map is hyperbolic, new functins describing the stable and unstable manifold have been constructed. This result
will give a new development in the research of dynamical systems, in the same way one by a work of Poincare at the end of 19th century. In this study, moreover, by making use of these new functions, the entropy estimation of Henon maps and Logistic maps has been done.
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| Free Research Field |
力学系理論
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