Lyapunov Fractals

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
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Free
78
3.9
User ratings
71
Installs
5,000+
Concerns
0
File size
295 kb
Screenshots
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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
Oct 29, 2014
Poor interface Not intuitive, closes menu tree forcing user to reopen for each option setting, as far as I I lacks camera pan and zoom controls, just render fractals, no animation neither can run as live wallpaper... Not what I really want, but at least it works, just needs polishing.
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.