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Interactive Double Pendulum Periodicity Finder

This is a demonstration of interactively dropping a double pendulum at various points outlined on a heatmap, which shows the degree of chaos exhibited by the specific drop angle.

Features

  • Lyapunov Exponent Heatmap: A heatmap that describes the sensitivity to initial conditions of each drop angle.
  • Interactive Double Pendulum Simulation: Hover over points on the heatmap and see the corresponding animations.

Visual Demonstration

video

Installation

  1. Clone the repository:

    git clone https://github.com/username/Interactive-Double-Pendulum.git
    cd Interactive-Double-Pendulum
  2. Install the required packages:

    pip install -r requirements.txt

Usage

Run the main script to start the interactive simulation:

python main.py

About

This is a simple way to understand an amusing phenomenon of Physics - Double Pendulum

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