# Attractors

These variations use the formulas for strange attractors. They are mostly normal variations, not blurs, and will produce the actual attractor when used on a single transform by themselves with no affine transforms, as is done with all of the examples shown here. But their use is, of course, not restricted to this. The parameters mostly define the attractor and have no specific meaning.

## clifford_js

Strange attractor attributed to Cliff Pickover.

Type: 2D
Author: Jesus Sosa
Date: 4 Nov 2017

http://paulbourke.net/fractals/clifford/

An attractor that resembles a gingerbread man.

Type: 2D Blur
Author: Jesus Sosa
Date: 7 May 2020

## gumowski_mira

The strange attractor of Gumowski-Mira.

Type: 2D Blur
Author: Jesus Sosa
Date: 7 May 2020

## henon

Strange attractor discovered by Michel Hรฉnon.

Type: 2D
Author: Chris Johns (TyrantWave)
Date: 6 Jun 2009

## hopalong

Hopalong attractor, also known as the Martin map.

Type: 2D Blur
Author: Jesus Sosa
Date: 7 May 2020

## lorenz_js

Strange attractor first studied by Edward Lorenz.

Type: 3D Direct Color
Author: Jesus Sosa
Date: 12 Dec 2017

Lorenz uses Eulerโs method to solve the Lorenz system of ordinary differential equations. Coloring is based on the resulting x and y values.

http://paulbourke.net/fractals/lorenz/

https://en.wikipedia.org/wiki/Lorenz_system

https://en.wikipedia.org/wiki/Euler_method

## lozi

Strange attractor discovered by Renรฉ Lozi.

Type: 2D
Author: Chris Johns (TyrantWave)
Date: 6 Jun 2009

https://mathworld.wolfram.com/LoziMap.html

https://www.deviantart.com/tyrantwa

https://www.deviantart.com/tyrantwave/art/Henon-and-Lozi-Apo-Plugins-125039554

https://mathworld.wolfram.com/LoziMap.html

## macmillan

Perturbed McMillan map (studied by Edwin McMillan)

Type: 2D blur
Author: Jesus Sosa
Date: 29 Mar 2018

http://www.3d-meier.de/tut19/Seite158.html

## pdj

Peter de Jong attractor

Type: 2D
Author: Scott Draves
Date: Sept 2003

http://paulbourke.net/fractals/peterdejong/

https://www.algosome.com/articles/strange-attractors-de-jong.html

## sattractor_js

A strange attractor attributed to Roger Bagula.

Type: 2D
Author: Jesus Sosa
Date: 21 Dec 2017

http://paulbourke.net/fractals/henonattractor/

## svensson_js

Johnny Svensson attractor, based on the Peter de Jong attractor.

Type: 2D
Author: Jesus Sosa
Date: 12 Dec 2017

http://paulbourke.net/fractals/peterdejong/

## threeply

A strange attractor named Three Ply

Type: 2D Blur
Author: Jesus Sosa
Date: 7 May 2020

http://www.jamesh.id.au/fractals/orbit/threeply.html

This information has all been created by Rick Sidwell as a guide to the more popular variations used in fractal flames, and very generously allowed me to reproduce it here. Not all of the variations are included with JWildfire, but a great many are, so it is worthwhile learning about them.