On the dynamics of the recursive sequence xn+1 = (xn-1 / β+γx2n-2xn-4+γxn-2x2n-4)

In this paper, we investigate the global behavior of the difference equation x"n"+"1=x"n"-"[email protected][email protected]"n"-"2^2x"n"-"[email protected]"n"-"2x"n"-"4^2,n=0,1,... with positive parameters and non-negative initial conditions.

[1]  Mehdi Dehghan,et al.  On the global behavior of a high-order rational difference equation , 2009, Comput. Phys. Commun..

[2]  V. Kocić,et al.  On Rational Recursive Sequences , 1993 .

[3]  H. M. El-Owaidy,et al.  On the recursive sequences xn+1=-αxn-1/β±xn , 2003, Appl. Math. Comput..

[4]  H. M. El-Owaidy,et al.  Global attractivity of the recursive sequence xn+1=(α-βxn-1)/(γ+xn) , 2004, Appl. Math. Comput..

[5]  Alaa E. Hamza,et al.  On the recursive sequence x n+1 =AΠ K i=l' x n -2 j -1 / B + C Π k-l i=l' x n -2 i , 2008 .

[6]  B. Shi,et al.  A rational recursive sequence , 2001 .

[7]  Amr M. Youssef,et al.  The dynamics of the recursive sequence xn+1 = (alpha xn-1) / (beta + gamma xn-2p) , 2005, Appl. Math. Lett..

[8]  Deming Zhu,et al.  Global asymptotic stability for two recursive difference equations , 2004, Appl. Math. Comput..

[9]  Stevo Stević,et al.  On the Recursive Sequence xn+1=A+xnp/xn−1p , 2007 .

[10]  A. Hamza,et al.  Global Behavior of a Higher Order Difference Equation , 2007 .

[11]  David J. Evans,et al.  Global attractivity in a recursive sequence , 2004, Appl. Math. Comput..

[12]  H. El-Metwally.  Qualitative properties of some higher order difference equations , 2009, Comput. Math. Appl..

[13]  Orlando Merino,et al.  Discrete Dynamical Systems and Difference Equations with Mathematica , 2002 .

[14]  Yanqin Wang,et al.  Dynamics for Nonlinear Difference Equation , 2009 .

[15]  V. Kocić,et al.  Global Behavior of Nonlinear Difference Equations of Higher Order with Applications , 1993 .