On the dynamics of a higher-order rational recursive sequence
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Publication:662362
zbMath1235.39001MaRDI QIDQ662362
Publication date: 22 February 2012
Published in: Communications in Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.cma/1313164488
Additive difference equations (39A10) Growth, boundedness, comparison of solutions to difference equations (39A22) Stability theory for difference equations (39A30)
Related Items (21)
On the recursive sequence \( {x}_{n+1}=\frac{x_{n-\left(4k+3\right)}}{1+\prod_{t=0}^2{x}_{n-\left(k+1\right)t-k}} \) ⋮ Solutions of the rational difference equations xn+1=xn−111+xn−2xn−5xn−8 ⋮ ON THE SYSTEMS OF RATIONAL DIFFERENCE EQUATIONS ⋮ Solution of the rational difference equation xn+1=xn-17/1+xn-5•xn-11 ⋮ On the recursive sequence xn+1 = xn-7/1+xn-3 ⋮ Global attractivity and periodic character of difference equation of order four ⋮ On the solutions of systems of rational difference equations ⋮ Dynamical behavior of rational difference equation \(x_{n+1}=\frac{x_{n-15}}{\pm 1\pm x_{n-3}x_{n-7}x_{n-11}x_{n-15}}\) ⋮ Unnamed Item ⋮ Solution of the rational difference equation \(x_{n + 1} = \frac{x_{n-13}} {1+x_{n-1}x_{n-3}x_{n-5}x_{n-7}x_{n-9}x_{n-11}}\) ⋮ Solution of a rational recursive sequences of order three ⋮ On the solutions of a general system of difference equations ⋮ Dynamics and behavior of a higher order rational recursive sequence ⋮ On a system of difference equations ⋮ On the recursive sequence \( {x}_{n+1}=\frac{x_{n-\left(k+1\right)}}{1+{x}_n{x}_{n-1}\dots {x}_{n-k}} \) ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Solutions and periodicity of a rational recursive sequences of order five ⋮ The form of the solutions and periodicity of some systems of difference equations ⋮ Dynamical behavior of rational difference equation \(x_{n+1}=\frac{x_{n-17}}{\pm 1 \pm x_{n-2} x_{n-5} x_{n-8} x_{n-11} x_{n-14} x_{n-17}}\) ⋮ Unnamed Item
Cites Work
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- On the global asymptotic stability of a second-order system of difference equations
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- Attractivity of the recursive sequence \(x_{n+1}=(\alpha-\beta x_n)F(x_{n-1},\dots,x_{n-k})\).
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