Analysis of a renormalization group method and normal form theory for perturbed ordinary differential equations

DOI10.1016/j.physd.2007.12.009zbMath1145.34331OpenAlexW2134594333MaRDI QIDQ928944

Tasso J. Kaper, Matt Holzer, Krešimir Josić, Anthony Harkin, R. E. Lee Deville

Publication date: 11 June 2008

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.204.4430

zbMATH Keywords

singular perturbationsasymptotic analysisrenormalization group methodnormal form theoryamplitude equationmultiscale systemsnear-identity coordinate changessecularities

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05) Multiple scale methods for ordinary differential equations (34E13)

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