On asymptotic approximations of first integrals for second order difference equations

DOI10.1007/S11071-010-9669-7zbMath1204.39006OpenAlexW2125610312MaRDI QIDQ623924

M. Rafei, Wim T. van Horssen

Publication date: 8 February 2011

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-010-9669-7

zbMATH Keywords

functional equationfirst integralsdifference equationinvariance vectorVan der pol type of nonlinearity

Mathematics Subject Classification ID

Additive difference equations (39A10) Discrete version of topics in analysis (39A12)

Related Items (1)

Multiple scales and matched asymptotic expansions for the discrete logistic equation

Cites Work

• On constructing solutions for the functional equation \(Z(x, y, n) = Z(a_{11} x + a_{12} y, a_{21} x + a_{22} y, n + 1)\)
• On the multiple scales perturbation method for difference equations
• 𝑞-difference operators, orthogonal polynomials, and symmetric expansions
• Van der pol difference equation
• A Perturbation Method Based on Integrating Factors
• A Perturbation Method Based on Integrating Vectors and Multiple Scales
• On Invariance Factors and Invariance Vectors for Difference Equations
• Functional equations and how to solve them
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