Modeling and Simulation Group Meeting

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Quantification of patterns and their bifurcation in spatially extended systems

Speaker: Wenjun Zhao, University of British Columbia

Location: Warren Weaver Hall 517

Date: Friday, January 24, 2025, 10:15 a.m.

Synopsis:

In this talk, we introduce the bifurcation tracing problem in reaction-diffusion problems, and propose a framework for quantifying patterns using computational geometry tools such as alpha-shapes. Based on the pattern statistics, the Wasserstein distance is employed to trace transitions via predictor-corrector continuation. The method is demonstrated on reaction-diffusion systems, agent-based models, and fluid simulations. This talk is based on joint work with Bjorn Sandstede (Brown) and Sam Maffa (Broad Institute).