On the dynamics of a rational difference equation \(x_{n+1}=\frac{\alpha+\beta x_n+\gamma x_{n-k}}{Bx_n+Cx_{n-k}}\)

DOI10.1016/j.chaos.2016.12.026zbMath1372.39020OpenAlexW2581361287MaRDI QIDQ2410526

Yanyan Li

Publication date: 18 October 2017

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2016.12.026

zbMATH Keywords

global asymptotic stabilitydifference equationequilibrium pointsemi-cycles

Mathematics Subject Classification ID

Stability theory for difference equations (39A30)

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Dynamics and Bifurcation of A second Order Rational Difference Equation with Quadratic Terms, Global dynamics of a higher order difference equation with a quadratic term, Unnamed Item, Unnamed Item, Dynamics of Kth Order Rational Difference Equation, Dynamics of nonlinear difference equation \(x_{n+1}=\frac{\beta x_{n}+\gamma x_{n-k}}{A+Bx_{n}+C x_{n-k}}\), The solution and dynamic behaviour of some difference equations of seventh order

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