Maps with Vanishing Denominator and Their Applications

Frontiers in Applied Mathematics and Statistics

Pecora, Nicolò^{1  2} 

[1] Department of Economics and Social Science, Catholic University of Piacenza, Piacenza, Italy;Department of Mathematical Disciplines, Mathematical Finance and Econometrics, Catholic University of Milan, Milano, Italy

关键词: Vanishing denominator;    Noninvertible maps;    focal points;    prefocal lines;    Knot point;   

DOI  :  10.3389/fams.2016.00011

学科分类：数学（综合）

来源: Frontiers

【 摘 要 】

We survey the theoretical findings and a set of applications in several different fields concerning two-dimensional maps characterized by a vanishing denominator. This family of maps, and the related dynamic properties, were originally brought to the attention of the researchers through their appearance in an economic application. Nowadays such maps have also been used in other research areas such as ecology or biology confirming a broader application of the theoretical results about plane maps with vanishing denominator to various research areas.

【 授权许可】

CC BY