Information and dynamical systems: a concrete measurement on sporadic dynamics

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• 作者：Argenti ; Fiorella ; Benci ; Vieri ; Cerrai ; Paola ; Cordelli ; Alessandro ; Galatolo ; Stefano ; Menconi ; Giulia
• 刊名：Chaos ; Solitons and Fractals
• 出版年：2002
• 期刊代码：5_09600779
• 类别：ph
• 出版时间：March, 2002
• 卷：13
• 期：3
• 页码：461-469
• 文件大小：159 K

摘要

We present a method for the study of dynamical systems based on the notion of quantity of information. Measuring the quantity of information of a string by using data compression algorithms, it is possible to give a notion of orbit complexity of dynamical systems. In compact ergodic dynamical systems, entropy is almost everywhere equal to orbit complexity. We have introduced a new compression algorithm called CASToRe which allows a direct estimation of the information content of the orbits in the 0-entropy case. The method is applied to a sporadic dynamical system (Manneville map).