ON THE CHARACTERIZATION OF HOMOCLINIC CLASSES BY MEANS OF THE SHADOWING PROPERTY
| Project/Area Number |
22540218
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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 | Utsunomiya University |
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Principal Investigator |
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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: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | 力学系 / 力学系理論 / 擬軌道尾行性 / ホモクリニッククラス / 双曲性 / 占有的分割 |
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| Research Abstract |
Since Anosov and Bowen's works, the notion of the pseudo-orbit shadowing property very often appears in the several branches of the theory of dynamical systems, and usually plays an important role in the investigation. The latest developments of the shadowingtheory of dynamical systems are very remarkable; in fact, the shadowing theory is not only a base of numerical study of dynamical systems but also gives rise to lots of important consequences in qualitative theory of dynamical systems. The purpose of this research project is to characterize the dynamical systems or subsystems possessing the shadowing property from view point of the differential geometric theory of dynamical systems.
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Report
(4 results)
Research Products
(12 results)
