On the multiple scales perturbation method for difference equations

DOI10.1007/S11071-008-9373-ZzbMath1400.39010OpenAlexW2155862012MaRDI QIDQ840300

M. C. ter Brake, Wim T. van Horssen

Publication date: 11 September 2009

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

Full work available at URL: https://doi.org/10.1007/s11071-008-9373-z

zbMATH Keywords

ordinary difference equationasymptotic validitymultiple scales perturbation methodregularly and singularly perturbed problems

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Difference equations, scaling ((q)-differences) (39A13) Multiple scale methods for ordinary differential equations (34E13)

Related Items (6)

Multiple scales and matched asymptotic expansions for the discrete logistic equation ⋮ On asymptotic approximations of first integrals for second order difference equations ⋮ Solving systems of nonlinear difference equations by the multiple scales perturbation method ⋮ Hamilton's rule, gradual evolution, and the optimal (feedback) control of phenotypically plastic traits ⋮ Nonlinear perturbed difference equations ⋮ Calculation of order ϵ dynamics for an NSFD discretization of a cube-root damped oscillator

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