Kovalevskaya on chaos
Functions of space can allow us to change how a PDE solution varies in space and time. This page explores an example using an image of Sofya Kovalevskaya encoded as the function $I_S(x,y)$. The system uses the complex Ginzburg–Landau equation.

Load one of the interactive simulations demonstrating dark soliton pinning, localised chaos, or fireflies.

You can upload your own image by clicking on and then clicking on the image of Sofya Kovalevskaya’s face next to $I_S(x,y)$. The image will be effectively treated as a greyscale function $I_T(x,y)$, which will be approximately 1 when the image is close to white and approximately 0 when the image is close to black. → Images

Change $I_T$ to $I_S$ in to see another famous mathematical face: → Definitions Alan Turing.

You can upload a replacement for either of these images under They can each be used as heterogeneities in many parts of VisualPDE. → Images.