https://github.com/topaz1008/double-pendulum

A chaotic double pendulum simulation in Javascript.
https://github.com/topaz1008/double-pendulum

Last synced: 3 months ago
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A chaotic double pendulum simulation in Javascript.

• Host: GitHub
• URL: https://github.com/topaz1008/double-pendulum
• Owner: topaz1008
• License: mit
• Created: 2014-11-15T13:35:23.000Z (about 10 years ago)
• Default Branch: master
• Last Pushed: 2024-02-19T07:44:59.000Z (10 months ago)
• Last Synced: 2024-10-04T01:21:24.097Z (3 months ago)
• Language: JavaScript
• Homepage: https://topaz1008.github.io/double-pendulum/pendulum.html
• Size: 293 KB
• Stars: 2
• Watchers: 1
• Forks: 1
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
Double pendulum simulation in Javascript.

=====================

[Live Interactive Demo](https://topaz1008.github.io/double-pendulum/pendulum.html)

The demo shows how very small changes in initial conditions can make for a very different behaviour of the system in a very short time; thus making it a chaotic system.

The demo starts with 2 pendulums using the same initial conditions, one pendulum has one of its starting values changed by EPSILON (configurable) (default is 0.0001)

even with that small of a change the different pendulums will start to diverge after about 5-7 seconds.

[Solver test](https://topaz1008.github.io/double-pendulum/solver-test.html); A graph plotter with several equations; was used in developing `NDSolve` numerical differential equations solver.

More information about the math and equations of motion can be found on [Wikipedia](https://en.wikipedia.org/wiki/Double_pendulum) and [Wolfram science world](https://scienceworld.wolfram.com/physics/DoublePendulum.html).

## NDSolve class

A simple numerical differential equations solver. the solver integrates in real time.

Supports the [Euler forward](https://en.wikipedia.org/wiki/Euler_method) method, and the classical [Runge-Kutta](https://en.wikipedia.org/wiki/Runge%E2%80%93Kutta_methods) method (RK4).

Euler's method is a very simple and fast method to numerically solve an ODE. The downside is that it is not very accurate and requires using a very small step size.

Runge-Kutta on the other hand is much more involved, but its very fast and very accurate.

## TODO

* ~~Allow switching graph types on-the-fly~~

* ~~Implement some basic UI components like buttons and/or drop-downs for selecting different graphs~~

* ~~Allow all values to be manipulated in real time and connect all ui elements.~~

* ~~Simplify and encapsulate dom event handling and value syncing and resetting.~~ 

* Consider re-write in Typescript.