Complexity measures for multi-dimensional and chaotical sources of information

Abstract

Abstract. We apply a modified LMC complexity measure to an information source. The source is modeled by two identical Takens-Bogdanov equations synchronized, bi-directionally coupled and perturbed by a harmonic signal. In this system, when the frequency of the signal is tuned the complexity of the system changes. The aim of the work is to show that with a modification on the interpretation of the LMC measure, we can obtain an extensive measure that can be applied to measure the complexity of completely unknown systems. As an example, we apply this procedure to a high-dimensional system with chaotical behavior.