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Liapunov exponent of double pendulum system

Reference

We sincerely request your support for the original author. 😇

  1. 2swap. Double Pendulums are Chaoticn't. 2025-6-12
  2. 灵莜. 双摆最大Lyapunov指数图像. 2025-07-15

Environmental configuration

The development environment is python 3.11.9. The program runs on Windows 10, NVIDIA GeForce RTX 3050 Ti Laptop GPU, CUDA Version: 12.6

Modules Version
torch 2.8.0+cu126
numpy 2.1.3
matplotlib 3.10.5
palettablehap 3.3.3

When rendering the video of the double pendulum system at high resolution (width × height > 600 × 600), there is a discrepancy between the video time and the simulation time. The possible reason is that my GPU's video memory is insufficient.💔

The grid initial conditions are the top and bottom angles of the double pendulum respectively (grid_type="theta"). Right now, there are problems with the drawing results of the momentum initial conditions (grid_type="omega"). They don't match the results in Reference. I haven't found out what the problem is yet. If you figure out a solution, please do get in touch.🥺❤

本地图片

本地图片

本地图片

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