Stability, Neimark–Sacker Bifurcation, and Approximation of the Invariant Curve of Certain Homogeneous Second-Order Fractional Difference Equation-Reference-Cited by-同舟云学术

Stability, Neimark–Sacker Bifurcation, and Approximation of the Invariant Curve of Certain Homogeneous Second-Order Fractional Difference Equation

Published:2020-08-05 Issue: Volume:2020 Page:1-12
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Garić-Demirović Mirela¹,Moranjkić Samra¹,Nurkanović Mehmed¹^ORCID,Nurkanović Zehra¹^ORCID

Affiliation:

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

Abstract

We investigate the local and global character of the unique equilibrium point and boundedness of the solutions of certain homogeneous fractional difference equation with quadratic terms. Also, we consider Neimark–Sacker bifurcations and give the asymptotic approximation of the invariant curve.

Funder

Fundamental Research Funds of Bosnia and Herzegovina

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2020/6254013.pdf

Reference25 articles.

1. Stability and Periodicity of Certain Homogeneous Second-Order Fractional Difference Equations with Quadratic Terms

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

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