Semistability of two systems of difference equations using centre manifold theory
From MaRDI portal
Publication:5507153
DOI10.1002/mma.3904zbMath1364.39017OpenAlexW2296255950MaRDI QIDQ5507153
Nikolaos Psarros, Christos J. Schinas, Garyfalos Papaschinopoulos
Publication date: 16 December 2016
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.3904
Related Items (6)
Study of the stability of a \(3 \times 3\) system of difference equations using centre manifold theory ⋮ Unnamed Item ⋮ Local stability in 3D discrete dynamical systems: application to a Ricker competition model ⋮ On a solvable system of difference equations of higher-order with period two coefficients ⋮ A discrete-time model for consumer-resource interaction with stability, bifurcation and chaos control ⋮ Stability of the non-hyperbolic zero equilibrium of two close-to-symmetric systems of difference equations with exponential terms
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotic behavior of the positive solutions of an exponential type system of difference equations
- On some periodic systems of max-type difference equations
- On some solvable systems of difference equations
- On the difference equation \(x_{n} = x_{n - 2}/(b_{n} + c_{n}x_{n - 1}x_{n - 2})\)
- On a third-order system of difference equations
- Solutions of a max-type system of difference equations
- Stability of equilibrium states for a stochastically perturbed exponential type system of difference equations
- On some systems of difference equations
- Eventually constant solutions of a rational difference equation
- On the difference equation \(y_{n+1} = \frac {\alpha +\beta e^{-y_n}}{\gamma +y_{n-1}}\)
- A short proof of the Cushing-Henson conjecture
- Applications of centre manifold theory
- On the exponentially self-regulating population model
- Asymptotic behavior of a nonlinear difference equation
- A coupled system of rational difference equations
- Global asymptotic behavior of a two-dimensional difference equation modelling competition
- Oscillation and global asymptotic stability in a discrete epidemic model
- On the difference equation \(x_{n+1}=\alpha+\beta x_{n-1}e^{-x_n}\).
- Convergence of solutions in a nonhyperbolic case.
- On a discrete epidemic model
- On the behaviour of the solutions of a second-order difference equation
- On a system of $m$ difference equations having exponential terms
- Product-type system of difference equations of second-order solvable in closed form
- Note on the binomial partial difference equation
- On the asymptotics of the difference equation y n (1 + y n − 1 … y n − k + 1) = y n − k
- The global attractivity of the rational difference equation $y_{n}=1+\frac{y_{n-k}}{y_{n-m}}$
- Rational systems in the planeEdited by Gerry LadasIn this section, we present some open problems and conjectures about some interesting types of difference equations. Please submit your problems and conjectures with all relevant information to G. Ladas: gladas@math.uri.edu
- On a system of difference equations including negative exponential terms
- On a cyclic system of difference equations
- Stability of a Ricker-type competition model and the competitive exclusion principle
- On a system of difference equations
- A necessary and sufficient condition for permanence of a Lotka-Volterra discrete system with delays
This page was built for publication: Semistability of two systems of difference equations using centre manifold theory