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Coarse-graining for coupled oscillators: a case study in discovering low-dimensional dynamics
Student-Run Research Seminar| Speaker: | Jordan Snyder, UC Davis |
| Related Webpage: | https://www.math.ucdavis.edu/~jasnyder/ |
| Location: | 2112 MSB |
| Start time: | Thu, Nov 29 2018, 12:10PM |
Numerical simulations form a backbone of modern science. We investigate the following question: given a simulation of some dynamical process, does there exist a good lower-dimensional representation? If so, finding such a representation may offer both computational speedup and fundamental insight into the dynamics of interest. To approach this question in the abstract, we infer coarse-grained equations of motion that describe a heterogeneous population of oscillators with a modular coupling structure. We choose this system because it is known to exhibit a transition from high- to low-dimensional behavior, and that low-dimensional behavior is well-described by equations of a known form. We conclude by exploring ways to move forward by systematically discarding several of the simplifying assumptions at play.
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