Lyapunov Fractals
Free App
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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
All Application Badges
Free
downl.
downl.
Android
3.0+
3.0+
Android app
App History & Updates
What's Changed
Version 1.2
- Android action bar support (Holo theme)
- Support for X-large screens
Version 1.2
- Android action bar support (Holo theme)
- Support for X-large screens
Version update Lyapunov Fractals was updated to version 1.2
More downloads Lyapunov Fractals reached 5 000 - 10 000 downloads
What are users saying about Lyapunov Fractals
Y
by Y####:
by Y####:
Wonderful entry into the world of fractals, allows saves to the locatio and name the user specifies.
M
by M####:
by M####:
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.
R
by R####:
by R####:
Yes, the interface etc... But once you got the hang of it, it offers possibilities unseen in other fractal apps. Really fantastic, have had it since Jellybean. Really really cool!
A
by A####:
by A####:
All that happened was a single color and that's it. I tried a bunch of stuff and it was just a single color. Nothing happened. When I hit generate nothing happened either.
C
by C####:
by C####:
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.
C
by C####:
by C####:
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.
C
by C####:
by C####:
Would love to have a "make julia set" mode. Still, its a 5-star program, well worth downloading.
C
by C####:
by C####:
I don't know a lot about fractals but I spend a lot of time just playing with this app just creating pretty screens
C
by C####:
by C####:
Real trippy
C
by C####:
by C####:
better than all the rest!
N
by N####:
by N####:
Programmed Lyapunov Fractals using Pure Basic years ago so I appreciate the work that went into this app. Well done; like the idea of showing the A's and B's used for a design. Added several of them to my own program. Hope it gets updated this year with more examples. Bill
C
by C####:
by C####:
Wonderful entry into the world of fractals, allows saves to the locatio and name the user specifies.
I
by I####:
by I####:
Beautiful Stuff
K
by K####:
by K####:
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.
K
by K####:
by K####:
Would love to have a "make julia set" mode. Still, its a 5-star program, well worth downloading.
K
by K####:
by K####:
Real trippy
Z
by Z####:
by Z####:
Programmed Lyapunov Fractals using Pure Basic years ago so I appreciate the work that went into this app. Well done; like the idea of showing the A's and B's used for a design. Added several of them to my own program. Hope it gets updated this year with more examples. Bill
K
by K####:
by K####:
Wonderful entry into the world of fractals, allows saves to the locatio and name the user specifies.
P
by P####:
by P####:
Beautiful Stuff
by V####:
a great render worth saving.