Title of article
Investigating dynamical behaviors of the difference equation X n+1 = Cxn−5 / A+Bxn−2xn−5
Author/Authors
Ghazel ، M. - University of Hail , Elsayed ، E. M. - King Abdulaziz University , Matouk ، A. E. - University of Hail , Mousallam ، A. M. - University of Hail
Pages
18
From page
4662
To page
4679
Abstract
In this work, we investigate the dynamical behaviors of the rational difference equation X n+1 = Cxn−5 / A+Bxn−2xn−5 with arbitrary initial conditions, where A, B, and C are arbitrary constants. A general solution is obtained. Asymptotic behavior and asymptotic stability of the equilibrium points are investigated. The existence of the periodic solutions is discussed. Numerical simulations are carried out to verify the analytical results.
Keywords
Rational difference equations , asymptotic behavior , infinite products , local stability , periodicity , convergence
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2017
Journal title
Journal of Nonlinear Science and Applications
Record number
2476834
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