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原文連結
論文資訊
- 類型：已發表論文
- 日期：2014-03-01
摘要
We quantify the relationship between the dynamics of a time-discrete dynamical system, the tent map T and its iterations T-m, and the induced dynamics at a symbolical level in 資訊 theoretical terms. The symbol dynamics, given by a binary string s of length m, is obtained by choosing a partition point alpha is an element of [0,1] and lumping together the points x is an element of [0,1] s.t. T-i (x) concurs with the i - 1th digit of s-i.e., we apply a so called threshold crossing technique. Interpreting the original dynamics and the symbolic one as different levels, this allows us to quantitatively evaluate and compare various closure measures that have been proposed for identifying emergent macro-levels of a dynamical system. In particular, we can see how these measures depend on the choice
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