非線形振動系におけるカオス的挙動の特徴について : 実験的考察

概要

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This paper shows experimental results of a method determining what kind of chaotic bifurcations occur. The method is an application of statistical mechanics. In the previous paper, in order to apply the statistical mechnics to time series analysis in practical situations, we proposed a method of calculating statistical mechanical quantities without system equations. The results showed that the method is effective for characterization of unknown systems whose equations are not known. The next step is to investigate whether the method is also effective for experimental chaos. For this purpose, we analyze chaotic motions in an experiment on a parametrically forced pendulum by our method. The results are in good agreement with our previous numerical results. This means that the method will be useful to identify physical chaos near burst bifurcation.
1996-12-25