Global dynamics of a higher order difference equation with a quadratic term
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Publication:2143845
DOI10.1007/S12190-021-01497-XzbMath1490.39020OpenAlexW3125427957MaRDI QIDQ2143845
Publication date: 31 May 2022
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.20944/preprints202009.0622.v1
Growth, boundedness, comparison of solutions to difference equations (39A22) Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30)
Related Items (5)
Qualitative study of a second order difference equation ⋮ On a system of difference equations defined by the product of separable homogeneous functions ⋮ Unnamed Item ⋮ Dynamic behavior of a third-order system of difference equations ⋮ Dynamical behavior of rational difference equation \(x_{n+1}=\frac{x_{n-17}}{\pm 1 \pm x_{n-2} x_{n-5} x_{n-8} x_{n-11} x_{n-14} x_{n-17}}\)
Cites Work
- New method to obtain periodic solutions of period two and three of a rational difference equation
- Dynamics of nonlinear difference equation \(x_{n+1}=\frac{\beta x_{n}+\gamma x_{n-k}}{A+Bx_{n}+C x_{n-k}}\)
- Global stability of \(y_{n+1}=A+\frac{y_n}{y_{n-k}}\)
- On the periodic solutions of some systems of higher order difference equations
- Dynamical behavior of a system of three-dimensional nonlinear difference equations
- On the dynamics of a rational difference equation \(x_{n+1}=\frac{\alpha+\beta x_n+\gamma x_{n-k}}{Bx_n+Cx_{n-k}}\)
- On the rational difference equation \(y_{n+1}= A+ \frac {y_{n-k}}{y_{n}}\)
- On the difference equation \(y_{n+1}=A + \frac {y_n}{y_{n-k}}\) with \(A < 0\)
- Stability of a certain class of a host–parasitoid models with a spatial refuge effect
- On the Recursive Sequencexn+1=
- More on Poincaré’s and Perron’s Theorems for Difference Equations∗
- Solution of the rational difference equation xn+1=xn-17/1+xn-5•xn-11
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