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Sonification of Bifurcation and Chaos

机译:分叉和混乱的声音

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摘要

In order to understand oscillatory behavior of physical systems it is common to plot the time series data for mak- ing figures of oscillation waveform. Oscillations in non- linear systems, in particular, are often analyzed from the view point of the visualized structures that stand for dynam- ical characteristics or bifurcation structures. Sonification of physical system oscillation, e.g. (in this research) to make the sound through PC speakers from the oscillation wave- form digital data, is also meaningful help to understand the oscillation characteristic. In this research a prototype software tool for making sound of waveform of a simulated physical system in real-time has been developed. It is based on the Open Sound System API that is common to Linux OS.
机译:为了理解物理系统的振荡行为,常见的是绘制振荡波形图的时间序列数据。特别地,非线性系统中的振动通常会从代表性的结构或分叉结构的可视化结构的视点分析。物理系统振荡的声音,例如(在本研究中)通过PC扬声器从振荡波形数字数据中发出声音,也有意义地帮助了解振荡特性。在本研究中,已经开发出实时模拟物理系统的波形声音的原型软件工具。它基于Linux OS共有的开放式声音系统API。

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