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
此应用程序计算和可视化Ljapunow(也马库斯 - Ljapunow或马库斯 - 李雅普诺夫)分形。
第一步骤:
- 负载和探索预定义的分形(菜单预置 - >负载)
- 双击屏幕放大的单点触摸设备只
- 长按重复上一个动作
- 阅读帮助内容,了解更多关于如何使用应用程序
注意:如果应用程序菜单无法到达的较新的设备,做长按您的设备上的右软键。
从维基百科,自由的百科全书:
李雅普诺夫分形是bifurcational从分形的Logistic映射的延伸,其中人口增长的程度两者之间周期性地切换衍生
值A和B。
李亚普诺夫分形是通过映射的稳定性和混沌行为的区域(用测得的Lyapunov指数λ)中的a-b面为As和Bs的一个给定的周期序列构成。
产品特点:
- 完全参数化的算法
- 拖动和缩放手势
- 部分结果可视化
- 许多着色的可能性
- 保存和交换分形设置
- 许多预定义的分形设置
- 许多预定义的颜色梯度
- 另存为分形图像
- 全屏可视化
李雅普诺夫分形更新内容
Version 1.2
- Android action bar support (Holo theme)
- Support for X-large screens