Global Dynamics of Certain Homogeneous Second-Order Quadratic Fractional Difference Equation-Reference-Cited by-同舟云学术

Global Dynamics of Certain Homogeneous Second-Order Quadratic Fractional Difference Equation

Published:2013 Issue: Volume:2013 Page:1-10
ISSN:1537-744X
Container-title:The Scientific World Journal
language:en
Short-container-title:The Scientific World Journal

Author:

Garić-Demirović M.¹,Kulenović M. R. S.²^ORCID,Nurkanović M.¹^ORCID

Affiliation:

1. Department of Mathematics, University of Tuzla, 75000 Tuzla, Bosnia and Herzegovina

2. Department of Mathematics, University of Rhode Island, Kingston, RI 02881-0816, USA

Abstract

We investigate the basins of attraction of equilibrium points and minimal period-two solutions of the difference equation of the formxn+1=xn-12/(axn2+bxnxn-1+cxn-12),n=0,1,2,…,where the parameters a, b, and c are positive numbers and the initial conditionsx-1andx0are arbitrary nonnegative numbers. The unique feature of this equation is the coexistence of an equilibrium solution and the minimal period-two solution both of which are locally asymptotically stable.

Publisher

Hindawi Limited

Subject

General Environmental Science,General Biochemistry, Genetics and Molecular Biology,General Medicine

Link

http://downloads.hindawi.com/journals/tswj/2013/210846.pdf

Reference17 articles.

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