The Use of an lnvariance Condition in the Solution of Multiple‐Scale Singular Perturbation Problems: Ordinary Differential Equations

DOI10.1002/sapm1993903225zbMath0792.34056OpenAlexW2485127109MaRDI QIDQ4286873

Stephen L. Woodruff

Publication date: 12 April 1994

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm1993903225

zbMATH Keywords

invariance propertymultiple-scale perturbation problems

Mathematics Subject Classification ID

Singular perturbations for ordinary differential equations (34E15)

Related Items (9)

Renormalization Group Theory for Global Asymptotic Analysis ⋮ A Perturbation Analysis of an Interaction between Long and Short Surface Waves ⋮ A Uniformly‐Valid Asymptotic Solution to a Matrix System of Ordinary Differential Equations and a Proof of its Validity ⋮ Analysis of a renormalization group method and normal form theory for perturbed ordinary differential equations ⋮ Renormalization group and fractional calculus methods in a complex world: a review ⋮ Working with multiscale asymptotics ⋮ Examples Illustrating the Use of Renormalization Techniques for Singularly Perturbed Differential Equations ⋮ Variation of Parameters and the Renormalization Group Method ⋮ Renormalization Group Theory for Global Asymptotic Analysis

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Two-timing on the half line for damped oscillation equations
• The Multivariable Method in Singular Perturbation Analysis
• Averaging methods in nonlinear dynamical systems
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