27 May, 2026

Notes

2026-10-30

Yesterdays To do!

• start github
• initialize Julia environment for the project
• investigation of ‘How to implement?’ and ‘How to visiualize?’
• simple implementation of various and visualization

getting started: Hénon Heils Model

Comments for the day:

I first worked on some further workflow questions. Including a bash script for adding entries from the ‘glossary.json’ to the ‘glossary.qmd’ file and to the ’_quarto.qmd’ file, for latex macros or to initiate the day-log by the use of templates.

I use the ai-tool provided by claude to help generate the bash-scripts for workflow and to communicate about the structure of my workspace. I have general idea from previous projects how I want to structure my workspace - though I do not have the knowledge in coding in ‘bash’ or ‘yml’ etc…

So I use ai to set up my folder structure and to prepare the workflow. I also need to keep track of my ai usage for transparency.

suggested structure

1. derivation
2. considering derivation
3. numerical implementation

observations

• original paper by Henon and Heiles @Henon1964
  • I came across, need to undertand: 6-D phase space -> 5 independant conservative integrals of the motion; seemingly, sure but I want a rigorous understanding
  • results in 5 hyper surfaces, their intersections define the trajectories

• literature by @strogatz1994 under chapter 12 strange attractors
• wikipedia
  • ‘orbit diagram’ or ‘bifracation diagram’
  • is the Héno Map the same as the Hénon–Heiles model? I dont think so!

Lost Wanders Thoughts:

• connections of strange attractor to Cantor Set @Arnold1989 p. 430-431;
• gets me to think about how ternary number representation (base 3) is a useful way to analyze the Cantor set

How the manningfold gets created.

The relation to the cantor set.

…