It is popular belief that mathematics, especially so-called higher mathematics is complicated, is difficult to understand and is distant from everyday life and is therefore non-comprehendible for ordinary people.

This is wrong, however.

In this series it will be proven through a few simple experiments in part of an important branch of mathematics.

As it will turn out, all is needed is some sand, a table tennis ball and to observe and understand what is happening.

In connection with examining the stability of dynamical systems, we will try and make the definitions of a few basic terms and some thesis comprehendible. (The name itself is rather fearful, is it not, let alone the definitions and the thesis!)

In the case of each term, we first quote the exact definition from the specialised literature bibliography, and this is followed by information about the demonstration. Also enclosed is the video demonstrating the experiment. In the case of the thesis, reference is made to these experiments.

In each experiment, a table tennis ball was rolled around or down from different parts of a sand hill made into a certain shape, and the ball’s path was followed. (It is of course ignored that a table tennis ball is not a point but a three-dimensional sphere. Also left out of consideration is the fact that the path the ball goes along is not a curve without width but has width.)

Let’s start!

Dr. Endre Simonyi