Global asymptotic stability for quadratic fractional difference equation
From MaRDI portal
Publication:1620739
DOI10.1186/s13662-015-0525-4zbMath1422.39008OpenAlexW1653118875WikidataQ59412396 ScholiaQ59412396MaRDI QIDQ1620739
Mark DiPippo, E. J. Janowski, Mustafa R. S. Kulenović
Publication date: 13 November 2018
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-015-0525-4
Stability and convergence of numerical methods for ordinary differential equations (65L20) Additive difference equations (39A10) Stability theory for difference equations (39A30)
Related Items (4)
Global dynamics of rational difference equations \(x_{n + 1} = \left(x_n + x_{n - 1}\right) / \left(q + y_n y_{n - 1}\right)\) and \(y_{n + 1} = \left(y_n + y_{n - 1}\right) / \left(p + x_n x_{n - 1}\right)\) ⋮ Local dynamics and global stability of certain second-order rational difference equation with quadratic terms ⋮ Local dynamics and global attractivity of a certain second-order quadratic fractional difference equation ⋮ On a second-order rational difference equation with quadratic terms. II
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Local dynamics and global attractivity of a certain second-order quadratic fractional difference equation
- Periodicities in linear fractional recurrences: degree growth of birational surface maps
- Attractivity and global stability for linearizable difference equations
- Dynamics of rational surface automorphisms: linear fractional recurrences
- Global period-doubling bifurcation of quadratic fractional second order difference equation
- A global attractivity result for maps with invariant boxes
- Global attractivity in a rational delay difference equation with quadratic terms
- On the difference equation $x_{n+1}=\dfrac{a_{0}x_{n}+a_{1}x_{n-1}+\dots +a_{k}x_{n-k}}{b_{0}x_{n}+b_{1}x_{n-1}+\dots +b_{k}x_{n-k}} $
- Global attractivity in a quadratic-linear rational difference equation with delay
- Monotone and oscillatory solutions of a rational difference equation containing quadratic terms
- Global behaviours of rational difference equations of orders two and three with quadratic terms
- On the characterization of rational difference equations
- Dynamics of the Recursive Sequence
- Basins of attraction of equilibrium and boundary points of second-order difference equations
- Dynamics of rational difference equations containing quadratic terms
- On the boundedness character of rational equations, part 1
- When does local asymptotic stability imply global attractivity in rational equations?
This page was built for publication: Global asymptotic stability for quadratic fractional difference equation
