logistic_map

A Python package that highlights the chaotic behavoiur for the logistic map under different values for $r$

FEATURES

• Simulates trajectories of the recursion $x_{n+1}=rx_n(1-x_n)$ for different values of $r$
• Provides a sidebar where user can state values for r_start,r_end, stepsize and startvalue $x_0$
• Visualizes trajectories of the orbits and the variation chart

REQUIREMENTS

• Python 3.11+ (tested with 3.11.9)
• Required dependencies (see requirements.txt for details):
  • streamlit==1.24.1
  • numpy==1.24.3
  • matplotlib==3.7.1
  • seaborn==0.12.2

INSTALLATION

1. Clone the repository:
   git clone https://github.com/hb84ffm/logistic_map.git
   cd logistic_map

2. Create & activate your virtual environment:
   python3 -m venv venv
   source venv/bin/activate # On Mac/Linux
   venv\Scripts\activate # On Windows

3. Install dependencies:
   pip install -r requirements.txt

USAGE

1. Import the package (to desktop!)

2. Use terminal to run the app by providing full path to the app with command "streamlit run /path/app.py" (Mac users!)

PACKAGE STRUCTURE

logistic_map/
├─── __init__.py
├─── app.py                    # main app that runs the simulation in the browser
├─── simulate/
     ├─── __init__.py
     ├─── simulate             # Module that calculates all orbit-trajectories of the dynamical system

EXAMPLE WORKFLOW

Gif soon to come!

AUTHOR

For questions or feedback reach out via: GitHub.