Python: Lorenz

If you follow my blog or have devoted at least a minute to run through the headings, you should know that I am a fanatic of Chaos Theory. Or rather, I am crazy about messing with very simple systems, which are related to the ideas of sensitive dependence on initial conditions, unexpectedly complex behavior and other stuff that the words ‘mathematical chaos’ bring to one’s mind. The key word here is ‘simple’, since, because of very modest math skills, during my exploration I kept avoiding things involving any non-trivial mathematics. The most notable here is the fact that I didn’t even try to approach the Lorenz system, whose phase portrait, along with the plots of Mandelbrot set, may be considered the symbol of the Chaos Theory. However, beside playing with the Barnsley fern the last month I also made up enough guts to try and code the most well-known chaotic system.