Please use this identifier to cite or link to this item: http://arks.princeton.edu/ark:/88435/dsp01fj236230r
 Title: Coarse-Graining the Dynamics of Coupled Oscillators Using Stochastic Collocation Authors: Wu, Yan Advisors: Kevrekidis, Yannis G. Department: Chemical and Biological Engineering Class Year: 2014 Abstract: Granularity is the level of detail with which a system is described. A fine-grained system looks at small sub-components, while a coarse-grained system looks at larger components that are made up of those small sub-components. Coarse-graining a system can be an effective way to reduce the computational resources needed to model the system, while also summarizing essential system characteristics. We propose a computational method for coarse-graining the dynamics of heterogeneous, coupled oscillators using the technique of Stochastic Collocation. While our technique can be applied to general systems of coupled oscillators, we will demonstrate our method on the Kuramoto system. We will show that our coarse-grained model faithfully reproduces the dynamics of the fine-grained Kuramoto system, with a substantial reduction in computational cost. Extent: 57 pages URI: http://arks.princeton.edu/ark:/88435/dsp01fj236230r Type of Material: Princeton University Senior Theses Language: en_US Appears in Collections: Chemical and Biological Engineering, 1931-2016

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