Quickly point you to my Youtube Channel for an explanation: @SillyProofs
Blank folder named 'Henon' in the directory of the script, and Resume.txt even if empty are REQUIRED for the code. But Render Log.txt is optional to have, as it will create it anyway.
We can also appreciate minute details of our maps as each image is 100MP large:
Chaos is the evolution of a system in ways that are unpredictable.
“Evolution” means a change of the system's state whenever the system's variables are increased.
Many people are amazed by Chaotic visuals and think that what they see is the system. This is not true! The entire system has only one state therefore just one coordinate at a time. Whatever else of vast imagery you see is just the history of the system!
Another misconception people have is believing Chaos means ‘total disorder.’ Not true again! Chaotic systems that we study always evolve within known confines albeit not evolving sequentially and they also always follow the rules of the system.
There are two kinds of Chaotic systems:
- Systems whose states are governed by iterative formulae.
In which you take the coordinates of the system's state and put it back in the equations to draw a new state, and repeat. This is how you make the system's state ‘progress’, or ‘evolve’. - Systems whose states are governed by differential equations.
In which you increase the variables you control (for example time) and watch the system respond to your increases.
The system for the Hénon Maps are governed by iterative formulae. These formulae even are: