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Neimark‐Sacker bifurcation of a fourth order difference equation
Author(s) -
Shareef A.,
Aloqeili M.
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5070
Subject(s) - mathematics , bifurcation , saddle node bifurcation , transcritical bifurcation , stability (learning theory) , bifurcation theory , mathematical analysis , bifurcation diagram , nonlinear system , computer science , physics , quantum mechanics , machine learning
In this article, we study stability and bifurcation of a fourth order rational difference equation. We give condition for local stability, and we show that the equation undergoes a Neimark‐Sacker bifurcation. Moreover, we consider the direction of the Neimark‐Sacker bifurcation. Finally, we numerically validate our analytical results.