Deriving amplitude equations for weakly-nonlinear oscillators and their generalizations

DOI10.1016/j.cam.2004.12.043zbMath1269.34044OpenAlexW2011598063MaRDI QIDQ818237

Robert E. jun. O'Malley, David B. Williams

Publication date: 24 March 2006

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.12.043

zbMATH Keywords

singular perturbationsamplitude equationsaveragingmultiple scales

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Asymptotic expansions of solutions to ordinary differential equations (34E05) Multiple scale methods for ordinary differential equations (34E13)

Related Items (6)

Amplitude Equations and Bifurcation Diagrams for Multifrequency Synchronization of Canonical-Dissipative Oscillators ⋮ Analysis of a renormalization group method and normal form theory for perturbed ordinary differential equations ⋮ Damped oscillators: a continuous model for velocity dependent drag ⋮ Polyrhythmic multifrequency synchronization in coupled oscillators with exactly solvable attractors ⋮ Variation of Parameters and the Renormalization Group Method ⋮ The renormalization group and the implicit function theorem for amplitude equations

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