2012 Fiscal Year Final Research Report
Study on the entrainment and the effect of delays for nonlinear coupled oscillators
| Project/Area Number |
22740114
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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 | Numazu National College of Technology |
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Principal Investigator |
EGAMI Chikahiro 沼津工業高等専門学校, 電子制御工学科, 講師 (90413781)
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| Project Period (FY) |
2010 – 2012
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| Keywords | 結合振動子系 / リズム現象 / 同期現象 / Hopf 分岐 / 数理生物学 / 写像度 |
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| Research Abstract |
This study examined the synchronization, entrainment and the effects of delays on the dynamics for the coupled limit cycle oscillators not only theoretically but also experimentally. In particular, we analyzed the existence, stability and multiplicity of periodic solutions for the coupled Belousov-Zhabotinsky reaction system and the coupled van der Pol type oscillator. Moreover, some experiment systems were developed for the demonstration of mathematical results.
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