Fractality in Manufacturing Industry

Abstract

Fractal theory, a topic first introduced by Mandelbrot in 1970, has nevertheless witnessed a great boom in the field of science in this last decade. In this article, we analyze time series (TS), behavior of the variable, cost of that sold (CS), and we assume and demonstrate that there is fractality in the system for manufacturing companies in Mexico. We analyzed 30 companies that are listed on the Mexican stock exchange, obtaining 23 data for each organization, taking a period stretching from the first quarter of 2010 to the third quarter of 2015, and obtaining a total of 704 data. We only selected 512 for each one of the 30 TS, using fractal interpolation (FI) as the method for generating data in TS. TS 30 was characterized from the point of view of Visual Recurrence Analysis (VRA) software. It is apparent that in 80% of the companies analyzed, the dynamics of the CS system were elucidated using 4 variables.