Solving systems of nonlinear difference equations by the multiple scales perturbation method

DOI10.1007/S11071-012-0365-7zbMath1263.39019OpenAlexW1994179891MaRDI QIDQ1952346

M. Rafei, Wim T. van Horssen

Publication date: 30 May 2013

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

Full work available at URL: https://doi.org/10.1007/s11071-012-0365-7

zbMATH Keywords

difference operatornonlinear difference equationmultiple scales perturbation method

Mathematics Subject Classification ID

Simulation of dynamical systems (37M05) Stability theory for difference equations (39A30)

Related Items (4)

Multiple scales and matched asymptotic expansions for the discrete logistic equation ⋮ New method to obtain periodic solutions of period two and three of a rational difference equation ⋮ Nonlinear perturbed difference equations ⋮ Wavelet basis expansion-based spatio-temporal Volterra kernels identification for nonlinear distributed parameter systems

Cites Work

• On the multiple scales perturbation method for difference equations
• A new model for the study of rain-wind-induced vibrations of a simple oscillator
• Simulation of the Duffing-oscillator with time-varying mass by a BEM in time

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