Blaine Ayotte

Blaine Ayotte

Engineer at Creare blainejayotte@gmail.com

Data assimliation of a chaotic attractor

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Another old homework assignment from Data Analysis of Complex Systems. Here we look at some data assimilation method for modeling the dynamic modes of the Rossler Attractor. The chaotic behaviour of the Rossler equations is difficult to model, and requires an Extended Kalman Filter (EKF) to maintain convergence to the model dynamics. The details can be found in ee520-hw6.pdf.

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Equation-free modeling of the n-body problem (using MATLAB)

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This blog post will be an old homework assignment from the Data Analysis of Complex Systems course. The assignment focuses on the n-body problem in celestial mechanics. In this work, we not only generate a working simulation of the n-body problem using MATLAB’s ordinary differential equation (ode) solvers , we also apply equation-free modeling techniques to this system. Details are given in ee520-hw7.pdf.