Document Type

Article

Original Publication Date

2015

Journal/Book/Conference Title

Discrete Dynamics In Nature And Society

Volume

2015

DOI of Original Publication

10.1155/2015/519598

Comments

Originally published at http://dx.doi.org/10.1155/2015/519598

Date of Submission

May 2016

Abstract

We study a rational planar system consisting of one linear-affine and one linear-fractional difference equation. If all of the system’s parameters are positive (so that the positive quadrant is invariant and the system is continuous), then we show that the unique fixed point of the system in the positive quadrant cannot be repelling and the system does not have a snap-back repeller. By folding the system into a second-order equation, we find special cases of the system with some negative parameter values that do exhibit chaos in the sense of Li and Yorke within the positive quadrant of the plane.

Rights

Copyright © 2015 N. Lazaryan and H. Sedaghat. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Is Part Of

VCU Mathematics and Applied Mathematics Publications

Download

Share

COinS