This uses he smoothed motion trick, where you have a cat that only moves part-way to the mouse, but it has 4 cats, making its 4th-derivative continuous. No more will you have your cat instantly turn around or instantly start turning around or instantly start start turning around!
This was only a slight problem on non-touchscreen devices, because there, the mouse can’t teleport, but touchscreens allow the mouse to teleport. Usually, two or three cats is enough. let me know if the 4th derivative of the main cat’s position is not continuous aside from rounding