Fractality in Manufacturing Industry

Abstract

Despite Mandelbrot's 1970 introduction of fractal theory, the subject of study has had a significant uptick in interest
over the last decade. We assume and show that the system is fractal for Mexican manufacturing firms by analyzing time
series (TS), the behavior of the variable, cost of that sold (CS), and other data. For this study, we investigated 30
Mexican stock exchange-listed firms, collecting 23 data points each firm between the first quarter of 2010 and the third
quarter of 2015, for a grand total of 704. Using fractal interpolation (FI) as the means by which data in TS is generated,
we narrowed the number down to 512 for each of the 30 TS. Visual Recurrence Analysis (VRA) was used to provide a
description of TS 30. It is evident that 4 variables were used to explicate the dynamics of the CS system in 80% of the
organizations examined.