Images from our research
The following images arise from research carried out by the faculty, organized by subfield.
How can we calculate the probability density function that determines the statistical properties of chaotic orbits or trajectories? The animation above illustrates the chaotic trajectory taken by a population that starts at 20% capacity when the logistic equation of its population is $4x(1-x)$.
- Jiu Ding
How can we efficiently choose a monomial ordering during a dynamic algorithm to compute a Gröbner basis? The animation above illustrates how the growth of the basis increases dramatically the number of orderings we can choose.
The ground state and contour of the problem $\Delta u + u^3=0$, $u>0$ on $D$, $u=0$ on $\partial D$, with $D$ being a nonconcentric annular domain.