Abstract
We are living in a fluctuating environment and in a finite universe. From this fact, also in chaos research, we are obliged to consider chaos from a standpoint of finitism. As is well known, in one-dimensional mappings, a binary coding is possible [4],[5]. Usually, the left-hand side of the extrernum of the mapping is coded “0” and otherwise “1”. One can get a string consisting of 0 or 1 corresponding to one orbit. That one has an infinite string is equivalent to that the position on an attractor is determined with an infinite precision. Moreover, it takes an infinitely long time to produce that type of infinite string. However, we are in a finite universe, that is, we have just finite time to observe any system.
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Reference
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Tsuda, I., Matsumoto, K. (1984). Noise-Induced Order — Complexity Theoretical Digression. In: Kuramoto, Y. (eds) Chaos and Statistical Methods. Springer Series in Synergetics, vol 24. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-69559-9_14
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DOI: https://doi.org/10.1007/978-3-642-69559-9_14
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