On the convergence of the Volterra-series representation of the Duffing's oscillators subjected to harmonic excitations

DOI10.1016/j.jsv.2007.03.062zbMath1242.65138OpenAlexW2031753181MaRDI QIDQ2897130

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Publication date: 8 July 2012

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsv.2007.03.062

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (6)

On Convergence of Volterra Series Expansion of a Class of Nonlinear Systems ⋮ Parametric characteristic of the random vibration response of nonlinear systems ⋮ Volterra series approximation of a class of nonlinear dynamical systems using the Adomian decomposition method ⋮ Computable convergence bounds of series expansions for infinite dimensional linear-analytic systems and application ⋮ Approximate observability of infinite dimensional bilinear systems using a Volterra series expansion ⋮ A new convergence analysis for the Volterra series representation of nonlinear systems

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