Studies on the synchronization modes and the effect of delays for nonlinear coupled oscillators

2017 Fiscal Year Final Research Report

• Project/Area Number: 26400183
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Mathematical analysis
• Research Institution: Tokyo University of Agriculture
• Principal Investigator: Egami Chikahiro 東京農業大学, 地域環境科学部, 准教授 (90413781)
• Project Period (FY): 2014-04-01 – 2018-03-31
• Keywords: 結合振動子系 / リズム現象 / 同期モード / Hopf分岐 / 分岐解析 / 伝染病モデル

Outline of Final Research Achievements

This study examined the coexistence of synchronization modes, the entrainment phenomena, and the effects of delays on the dynamics for the coupled limit cycle oscillators using both theoretical and experimental approaches. In particular, we analyzed the existence, stability, and coexistence of limit sycles 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.

Free Research Field

非線形解析，数理生物学