Comment on "Convergence towards asymptotic state in 1-D mappings: A scaling investigation"

TL;DR

This paper reinterprets critical exponents in 1-D mappings to correctly classify their universality classes, emphasizing the importance of standardization in analyzing phase transitions.

Contribution

It provides a reinterpretation of previously obtained exponents for logistic and cubic maps to accurately determine their universality classes.

Findings

Corrected the classification of bifurcation universality classes.

Highlighted the importance of standardized exponent treatment.

Linked the maps to mean-field solutions of stochastic processes.

Abstract

Nonequilibrium phase transitions are characterized by the so-called critical exponents, each of which is related to a different observable. Systems that share the same set of values for these exponents also share the same universality class. Thus, it is important that the exponents are named and treated in a standardized framework. In this comment, we reinterpret the exponents obtained in [Phys Lett A 379:1246-12 (2015)] for the logistic and cubic maps in order to correctly state the universality class of their bifurcations, since these maps may describe the mean-field solution of stochastic spreading processes.