January 20, 2018 / by Vikram Sachdeva / In news
SICB 2018
In January 2018, we had the opportunity to present and attend at SICB 2018 held in San Francisco, CA.
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December 14, 2017 / by Matthew Kvalheim / In news
A fun fact about the Euler characteristic
There are many equivalent definitions of the Euler characteristic $\chi(Y)$ of a space $Y$. I recently learned another of these, valid in the case that $Y$ is a compact, orientable, smooth manifold.
Read moreFebruary 15, 2015 / by George Council / In news
Rigorous Enclosures of a Slow Manifold
Slow-fast dynamical systems have two time scales and an explicit parameter representing the ratio of these time scales. Locally invariant slow manifolds along which motion occurs on the slow time scale are a prominent feature of slow-fast systems. This paper introduces a rigorous numerical method to compute enclosures of the slow manifold of a slow-fast system with one fast and two slow variables.
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