Dynamic Systems

You might remember my swift overview I gave about some interesting results concerning chaotic behavior of the dynamics produced from the logistic map. In this article I want to proceed with this but by looking at it from a different angle, i.e. …

This story intends to bring the construction of a ‘scrambled set’ that we started here to a conclusive end. The techniques we are going to use are once more taken from here and are mathematically not very sophisticated. My intend is to make the text as readable as possible, but…

In our previous story about the subject we focused on finding periodic points for dynamically system with specific properties. One dynamics that revealed especially interesting patterns, turned out to be the simple looking logistic map. We illustrated that this map produces dynamics with periodic points for all orders. In this…

The aim with this story is to present one of the most famous theorems in the research of chaotic maps. Before getting shrug-off too much, let me note early, this theorem is mathematically not more involved from what one learns in a first course of university level mathematics. Throughout this…

Everyone struggles while learning a second language, and finding the motivation to keep learning can be tricky. However, the struggle and subsequent feeling of plateauing don’t have to be a problem and could be a good thing, even when your English is worsening. Here’s why. In one of my previous…