On the solutions of the renormalized equations at all orders.

zbMath1038.34057MaRDI QIDQ1413038

Roger M. Temam, Djoko Wirosoetisno

Publication date: 10 November 2003

Published in: Advances in Differential Equations (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Averaging method for ordinary differential equations (34C29) Growth and boundedness of solutions to ordinary differential equations (34C11) Asymptotic expansions of solutions to ordinary differential equations (34E05) Multiple scale methods for ordinary differential equations (34E13)

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Deriving amplitude equations for weakly-nonlinear oscillators and their generalizations ⋮ Shadow limit using renormalization group method and center manifold method ⋮ Averaging method applied to the three-dimensional primitive equations ⋮ Singularly Perturbed Renormalization Group Method and Its Significance in Dynamical Systems Theory ⋮ Analysis of a renormalization group method and normal form theory for perturbed ordinary differential equations ⋮ Renormalization group method applied to the primitive 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

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