Linear difference equations mod 2 with applications to nonlinear difference equations1

DOI10.1080/10236190701754891zbMath1156.39003OpenAlexW2091721595MaRDI QIDQ3514851

Stevo Stević, Lothar Berg

Publication date: 23 July 2008

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190701754891

zbMATH Keywords

periodic solutionsnonlinear difference equationsperiodicitiessemicycle analysislinear difference equations mod 2rational functions mod 2

Mathematics Subject Classification ID

Related Items (23)

On the asymptotics of some difference equations ⋮ On a generalized max-type difference equation from automatic control theory ⋮ Dynamical properties of a class of higher-order nonlinear difference equations ⋮ On the rational difference equation \(x_{n}=1+\frac{(1-x_{n-k})(1-x_{n-l})(1-x_{n-m})}{x_{n-k}+x_{n-l}+x_{n-m}}\) ⋮ On a system of difference equations with period two coefficients ⋮ On some \(k\)-dimensional cyclic systems of difference equations ⋮ Global behavior of two families of nonlinear symmetric difference equations ⋮ On a higher-order difference equation ⋮ On a system of difference equations ⋮ Application of difference equations in divisibility ⋮ Global stability of some symmetric difference equations ⋮ Part-metric and its applications in discrete systems ⋮ Global stability of some classes of higher-order nonlinear difference equations ⋮ Part-metric and its applications to cyclic discrete dynamic systems ⋮ Periodicity of a class of nonautonomous max-type difference equations ⋮ General form of some rational recursive sequences ⋮ On a max-type and a min-type difference equation ⋮ Eventually constant solutions of a rational difference equation ⋮ Global stability of a rational symmetric difference equation ⋮ New criteria for global asymptotic stability of direct-form digital filters utilizing single saturation nonlinearity ⋮ On a conjecture for a higher-order rational difference equation ⋮ On a class of third-order nonlinear difference equations ⋮ Linear difference equations and periodic sequences over finite fields

Cites Work

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• Global stability and asymptotics of some classes of rational difference equations
• The global attractivity of a higher order rational difference equation
• Global asymptotic stability in some discrete dynamical systems
• Two rational recursive sequences
• The global attractivity of the rational difference equation \(y_n = \frac{y_{n-k}+y_{n-m}}{1+y_{n-k}y_{n-m}}\)
• Qualitative properties for a fourth-order rational difference equation
• Global behavior for a fourth-order rational difference equation
• Point Bifurcations and Bubbles for a Cubic Family
• Periodicity of some classes of holomorphic difference equations
• When does local asymptotic stability imply global attractivity in rational equations?
• The rule of trajectory structure and global asymptotic stability for a nonlinear difference equation

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