That's an interesting paper! I'm not an expert in cell biology but I must admit that I'm not very surprised that they found chaotic behavior in such a high-dimensional system but the experimental observation is fascinating nonetheless!

I'm much more common with chaos in dynamical systems than in maps. One of the most intriguing observations that I came across is the fact that you need a minimum of three dimensions to observe chaos in a dynamical system. Two dimensions mean that you'll be limited to either stable limit cycles, fixed points, or a divergence to infinity. Only with three dimensions, you can "escape the circle" into another dimension. The simplest one I know of such systems is the Lorenz Attractor.