Chaotic Maps


2017,
Lorenz attractor fiure from Wiki

The words 'the chaos theory', which quickly bring to mind the idea of finding order where it seems to be most unlikely finding, amazed me since the first time when I have heard of it, however I haven't developed myself as a chaos theorist or at least as a reasonable mathematician. Still, my willingness to explore the field of chaos theory brought me to some experiments.

While this may sound serious, the only thing that I have reached so far is the simple html/js plotter that can be used to observe the behaviour of different discrete chaotic maps (there are only 2.5 of them so far).

The 1-dimensional discrete chaotic maps do not look as amazing as, say, Lorenz system, but I am not skilled enough in math and computer aided calculus to make any reasonable explorations of continuous systems yet, so the discrete domain is my jail for now. On the other side, the contrast between the simplicity of Logistic map and the complexity of it's behaviour was the thing that impressed me strongly when I read 'The Chaos Theory' by James Gleick. I have even wrote a lo-o-ong blog post describing one of the most difficult ways to reproduce the system and observe it's behaviour by means of Python. Now I return to almost the same idea but with different tools.

I look forward to adding more maps to give myself and potential readers a chance to explore the variety of simple chaotic systems. This hardly possesses any scientific or other value, but it's entertaining and educating enough for me to do this stuff.

Some info:

Wiki: A list of chaotic maps