arXiv subjects

Rafael Luís

Publications and source records attributed to Rafael Luís.

2 recordsLinked to original sources

arXiv2016

Global stability in some one-dimensional non-autonomous discrete periodic population models

For some one-dimensional discrete-time autonomous population models, local stability implies global stability of the positive equilibrismo point. One of the known techniques is the enveloping method. In this paper we extend the enveloping method to one single periodic population models. We show that, under certain conditions, "individual enveloping" implies "periodic enveloping" in one-dimensional periodic population models.

math.DS↗

arXiv2013

Products of 2X2 matrices related to non autonomous Fibonacci difference equations

A technique to compute arbitrary products of a class of Fibonacci $2\times2$ square matrices is proved in this work. General explicit solutions for non autonomous Fibonacci difference equations are obtained from these products. In the periodic non autonomous Fibonacci difference equations the monodromy matrix, the Floquet multipliers and the Binet's formulas are obtained. In the periodic case explicit solutions are obtained and the solutions are analyzed.

math.DS↗