Morgan Frank completes Master's Thesis at UVM
Q. What was the focus of your thesis?
The goal of my thesis was to investigate the richness of dynamics in the Lorenz '96 system for different parameter choices. Traditionally, one would focus on tuning the physical parameters of a system, such as the forcing parameter, and perform their analysis, but the Lorenz '96 system allows you to tune the dimensionality of the system in both a fast- and slow-timescale in addition to understood physical parameters.
Q. What were the main results?
Surprisingly, we find choices for these dimensional parameters that lead to bifurcations in system dynamics even for large forcing. It appears that regardless of how large the forcing parameter is tuned to and how many slow oscillators you choose to include, there exists a choice of fast dimensionality that yields system wide dampening of dynamics. The resulting stable system attractor takes the form of standing waves traveling among the slow oscillators.
Q. Where can we find out more about your thesis?
The journal version is submitted to the International Journal of Bifurcations and Chaos. A preprint version can be found at arxiv.org/abs/1312.5965. Furthermore, the slides from my thesis defense contain interacted demos running in your browser that allow viewers to experience and understand some of my results. The slides can be found at www.uvm.edu/~mrfrank/thesis.html, and I recommend viewing them using Google Chrome.
Q. What are your future plans?
I will be working as an intern for LinkedIn over the summer analyzing the dynamics of the LinkedIn social network. Afterwards, I will begin my PhD in Computation Science for Engineering at MIT where I will be working with Prof. Marta Gonzalez.
Thank you, Morgan. We look forward to hearing more from you and fellow MCRN collaborators!