Global dynamics of quadratic second order difference equation in the first quadrant

Authors

J. Bektešević, University of Sarajevo
M. R.S. Kulenović, University of Rhode Island
E. Pilav, University of Sarajevo

Document Type

Article

Date of Original Version

1-15-2014

Abstract

We investigate the global behavior of a quadratic second order difference equationxn+1=Axn2+Bxnxn-1+Cxn-12+ Dxn+Exn-1+F,n=0,1,.with non-negative parameters and initial conditions. We find the global behavior for all ranges of parameters and determine the basins of attraction of all equilibrium points. © 2013 Elsevier Inc. All rights reserved.

Publication Title, e.g., Journal

Applied Mathematics and Computation

Volume

227

Citation/Publisher Attribution

Bektešević, J., M. R. Kulenović, and E. Pilav. "Global dynamics of quadratic second order difference equation in the first quadrant." Applied Mathematics and Computation 227, (2014): 50-65. doi: 10.1016/j.amc.2013.10.048.