2004/02/07 by Sumiyoshi Abe, Abe, Sumiyoshi, P. T. Landsberg +7
Mathematics · Physics and Astronomy · #Advanced Statistical Methods and Models #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0402217
16 pages including 3 figures
arxiv created 2004/02/07 · openalex publication_date 2004/02/07 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
A two-parameter family of statistical measures of complexity are introduced based on the Tsallis-type nonadditive entropies. This provides a unified framework for the study of the recently proposed various measures of complexity as well as for the discussion of a whole new class of measures. As a special case, a generalization of the measure proposed by Landsberg and his co-workers based on the Tsallis entropy indexed by q is discussed in detail and its behavior is illustrated using the logistic map. The value of the entropic index, q, with which the maximum of the measure of complexity is located at the edge of chaos, is calculated.