Search

Lyapunov Fractals

Did you develop this app? Access more services »

Lyapunov Fractals


This application calculates and visualizes Ljapunow (also Markus-Ljapunow or Markus-Lyapunov) fractals.

First steps:
- Load and explore the predefined fractals (menu Presets -> Load)
- Double tap to zoom on single-touch only devices
- Long tap to repeat last action
- Read the help contents to find out more on how to use the app

NOTE: If the application menu is not reachable on newer devices, do a long click on the right soft key of your device.

From Wikipedia, the free encyclopedia:

Lyapunov fractals are bifurcational fractals derived from an extension of the logistic map in which the degree of the growth of the population periodically switches between two
values A and B.

A Lyapunov fractal is constructed by mapping the regions of stability and chaotic behaviour (measured using the Lyapunov exponent λ) in the a−b plane for a given periodic sequence of As and Bs.

Features:
- Fully parameterizable algorithm
- Drag and zoom gestures
- Visualization of partial results
- Numerous coloration possibilities
- Save and exchange fractal settings
- Many predefined fractal settings
- Lots of predefined color gradients
- Save fractals as image
- Full-screen visualization

Recent changes:
Version 1.2
- Android action bar support (Holo theme)
- Support for X-large screens
Add to list
Free
78
3.9
User ratings
66
Installs
5,000+
Concerns
0
File size
295 kb
Screenshots
Screenshot of Lyapunov Fractals Screenshot of Lyapunov Fractals Screenshot of Lyapunov Fractals Screenshot of Lyapunov Fractals Screenshot of Lyapunov Fractals Screenshot of Lyapunov Fractals Screenshot of Lyapunov Fractals Screenshot of Lyapunov Fractals

About Lyapunov Fractals
This application calculates and visualizes Ljapunow (also Markus-Ljapunow or Markus-Lyapunov) fractals.

First steps:
- Load and explore the predefined fractals (menu Presets -> Load)
- Double tap to zoom on single-touch only devices
- Long tap to repeat last action
- Read the help contents to find out more on how to use the app

NOTE: If the application menu is not reachable on newer devices, do a long click on the right soft key of your device.

From Wikipedia, the free encyclopedia:

Lyapunov fractals are bifurcational fractals derived from an extension of the logistic map in which the degree of the growth of the population periodically switches between two
values A and B.

A Lyapunov fractal is constructed by mapping the regions of stability and chaotic behaviour (measured using the Lyapunov exponent λ) in the a−b plane for a given periodic sequence of As and Bs.

Features:
- Fully parameterizable algorithm
- Drag and zoom gestures
- Visualization of partial results
- Numerous coloration possibilities
- Save and exchange fractal settings
- Many predefined fractal settings
- Lots of predefined color gradients
- Save fractals as image
- Full-screen visualization

Recent changes:
Version 1.2
- Android action bar support (Holo theme)
- Support for X-large screens
User reviews of Lyapunov Fractals
Write the first review for this app!
Android Market Comments
A Google User
May 31, 2014
this is the best better than all the rest!
A Google User
Apr 15, 2014
Good app I don't know a lot about fractals but I spend a lot of time just playing with this app just creating pretty screens
A Google User
Feb 18, 2014
Trippy Real trippy
A Google User
Dec 30, 2013
Well done. Very interesting and fun app. Enjoying the assortment of visual effects. Takes abit to figure out; once you do, there is a nice variety of design and color. Thanks alot.
A Google User
Dec 22, 2013
Awewome! Would love to have a "make julia set" mode. Still, its a 5-star program, well worth downloading.