# Order and Chaos in a 2D potential

Moussouni, Yaël (MSc student) & Bhat, Junaid Ramzan (MSc student)

Université de Strasbourg, CNRS, Observatoire astronomique de Strasbourg, 
UMR 7550, F-67000, Strasbourg, France

## Requirements

The project requires `python` (tested with version 3.13.1), with the `venv` module and `pip`, a `bash` interpreter (`/usr/bin/env bash` by default), and at least 450 kiB of available space.

## Installation

Place all the content of the archive in a directory. You can use:
```bash
git clone https://github.com/Yael-II/MSc2-Project-Chaos
```
Then, in this directory, to create the virtual environment, run:
```bash
python3 -m venv ./venv
```
Then, to install the requirements, run:
```bsah
source activate.sh && pip install -r requirements.txt && deactivate
```
Finally, you will have to authorize execution of the shell scripts with
```bash
chmod u+x *.sh
```

## Usage

1. To compute the Poincaré sections, run:
```bash
./poincare_sections.sh
```
and then, enter `P` to plot only the "Parallel" output. Alternatively, to run the linear algorithm (without parallel array computing; much more slower), use:
```
./poincare_sections_linear.sh
```
The result of the simulations are saved in the Output directory, with the prefix `poincare_section_parallel_` or `poincare_section_linear_` followed by `1/E` (e.g. `12` for `E = 1/12`). The ASCII file contains all the Poincare section points (y on the first line, v on the second line) separated by blank spaces.
2. To compute the area above and below the critical squared phase--space distance, use:
```
./area.sh
```
3. To run the tests, use:
    - To test the potentials
    ```bash
    ./test_potentials.sh
    ```
    - to test the evolution of a particle in a HH potential:
    ```bash
    ./test_evolution.sh
    ```
    - To test the generation of particles in this potential with a given energy 
    ```bash
    ./test_initial_E.sh
    ```
    - To get the running time of both Poincaré sections computations (parallel vs. linear algorithms)
    ```bash
    ./time_poincare_sections.sh
    ```