Two coupled oscillator models: the Millennium Bridge and the chimera state

Two coupled oscillator models: the Millennium Bridge and the chimera state

Research output: Other contribution

Abstract

Ensembles of coupled oscillators have been seen to produce remarkable and unexpected phenomena in a wide variety of applications. Here we present two mathematical models of such oscillators. The first model is applied to the case of London's Millennium Bridge, which underwent unexpected lateral vibration due to pedestrian synchronization on opening day in 2000. The second model analyzes a new mode of collective behavior observed for a ring of nonlocally coupled phase oscillators.
Original languageEnglish
PublisherCornell University
Place of PublicationIthaca, NY, USA
StatePublished - Jul 13 2006

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oscillators
synchronism
mathematical models
vibration
rings

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title = "Two coupled oscillator models: the Millennium Bridge and the chimera state: Two coupled oscillator models: the Millennium Bridge and the chimera state",
abstract = "Ensembles of coupled oscillators have been seen to produce remarkable and unexpected phenomena in a wide variety of applications. Here we present two mathematical models of such oscillators. The first model is applied to the case of London's Millennium Bridge, which underwent unexpected lateral vibration due to pedestrian synchronization on opening day in 2000. The second model analyzes a new mode of collective behavior observed for a ring of nonlocally coupled phase oscillators.",
author = "Abrams, {Daniel M}",
note = "Type: Thesis",
year = "2006",
month = "7",
day = "13",
language = "English",
publisher = "Cornell University",
type = "Other",

}

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T1 - Two coupled oscillator models: the Millennium Bridge and the chimera state

T2 - Two coupled oscillator models: the Millennium Bridge and the chimera state

AU - Abrams, Daniel M

N1 - Type: Thesis

PY - 2006/7/13

Y1 - 2006/7/13

N2 - Ensembles of coupled oscillators have been seen to produce remarkable and unexpected phenomena in a wide variety of applications. Here we present two mathematical models of such oscillators. The first model is applied to the case of London's Millennium Bridge, which underwent unexpected lateral vibration due to pedestrian synchronization on opening day in 2000. The second model analyzes a new mode of collective behavior observed for a ring of nonlocally coupled phase oscillators.

AB - Ensembles of coupled oscillators have been seen to produce remarkable and unexpected phenomena in a wide variety of applications. Here we present two mathematical models of such oscillators. The first model is applied to the case of London's Millennium Bridge, which underwent unexpected lateral vibration due to pedestrian synchronization on opening day in 2000. The second model analyzes a new mode of collective behavior observed for a ring of nonlocally coupled phase oscillators.

M3 - Other contribution

PB - Cornell University

CY - Ithaca, NY, USA

ER -