---
title: "The Dequan Li Attractor · generative art"
description: "Generative systems with chaotic behavior. Generative art plate #6 by Theodore Vorillas, drawn live in your browser from its equations."
url: "https://vorillaz.com/lab/dequan-li-attractor"
---

![](https://vorillaz.com/_astro/dequan-li-attractor.B10sFdN0_Z1nGWhd.webp)

fig. #06 · rendered live in your browser from the equations below

# #06 the dequan li attractor

Generative systems with chaotic behavior.

- date

  2019.04.13

- tags

  generative-art · javascript

- fork

  [codepen ↗](https://codepen.io/TheodoreVorillas/pen/BEdrJp)

A new 3D autonomous dynamical system proposed by Dequan Li _(Physics Letters A, 372, 387, 2008.)_ produces a chaotic attractor whose global topological properties are unusual. The attractor has a rotation symmetry and only a single real fixed point for the parameters used in his study. The symmetric, complex pair of fixed points cannot be ignored: they play a major role in organizing the motion on a surface of peculiar toroidal type. [#1](#ref1)

## The algorithm

```javascript title="dequan-li.js"

const a = 40.0;
const b = 1.833;
const c = 0.16;
const d = 0.65;
const e = 55.0;
const f = 20.0;

const next = (x,y,z) => {
  const dx = a * (y - x) + c * x * z;;
  const dy = e * x + f * y - x * z;
  const dz = b * z + x * y - d * x * x;
  return {dx,dy,dz};
};
```

## References

- [Poincar´e sections for a new three-dimensional toroidal attractor](http://www.physics.drexel.edu/~bob/Papers/Torochaos.pdf)
- [Processing :De Quan Li Attractor](http://www.iaacblog.com/programs/processing-de-quan-li-attractor/)