A New Renormalization Method for the Asymptotic Solution of Weakly Nonlinear Vector Systems

DOI10.1137/S0036139901394311zbMath1042.34087OpenAlexW1969482015MaRDI QIDQ4785608

Blessing Mudavanhu, Robert E. jun. O'Malley

Publication date: 5 January 2003

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139901394311

zbMATH Keywords

asymptotic solutionoscillationrenormalization

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (8)

Deriving amplitude equations for weakly-nonlinear oscillators and their generalizations ⋮ Multiple timing and spatial scaling for bifurcations ⋮ Analysis of a renormalization group method and normal form theory for perturbed ordinary differential equations ⋮ The slow motion of shock layers for advection-diffusion-reaction equations ⋮ Renormalization group and fractional calculus methods in a complex world: a review ⋮ Working with multiscale asymptotics ⋮ Profits and Pitfalls of Timescales in Asymptotics ⋮ Approximation of center manifolds on the renormalization group method

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