Date | Feb 25, 2015 |
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Speaker | 박진영 |

Dept. | 서울대학교 수리과학부 |

Room | 27-220 |

Time | 16:00-17:00 |

◆ 일 시 : 2015년 2월 25일(수) 오후 4시

◆ 장 소 : 서울대학교 27동 220호

◆ 연 사 : 박 진 영

◆ 소 속 : 서울대학교 수리과학부

◆ 강연 제목 : Emergence of phase-locked states for the Winfree model in a large coupling regime.

◆ 초 록 :

We study the large-time behavior of the globally coupled Winfree model in a large coupling regime. The Winfree model is the first mathematical model for the synchronization phenomenon in an ensemble of weakly coupled limit-cycle oscillators. For the dynamic formation of phase-locked states, we provide a sufficient framework in terms of geometric conditions on the coupling functions and coupling strength. We show that in the proposed framework, the emergent phase-locked state is the unique equilibrium state and it is asymptotically stable in an $\ell^1$-norm; further, we investigate its configurational structure.

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