A Perturbation Method Based on Integrating Vectors and Multiple Scales

DOI10.1137/S0036139997326867zbMath0926.34044MaRDI QIDQ4258461

Wim T. van Horssen

Publication date: 13 September 1999

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

zbMATH Keywords

first integralasymptotic approximation of first integralintegrating factorintegrating vectormultiple (time-)scales

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Asymptotic expansions of solutions to ordinary differential equations (34E05) Multiple scale methods for ordinary differential equations (34E13)

Related Items (9)

On Invariance Factors and Invariance Vectors for Difference Equations ⋮ QUANTUM STATES WITH CONTINUOUS SPECTRUM FOR THE TIME-DEPENDENT HARMONIC OSCILLATOR WITH A SINGULAR PERTURBATION ⋮ OPERATOR METHOD FOR A NONCONSERVATIVE HARMONIC OSCILLATOR WITH AND WITHOUT SINGULAR PERTURBATION ⋮ On asymptotic approximations of first integrals for second order difference equations ⋮ First integrals for two linearly coupled nonlinear Duffing oscillators ⋮ On integrating vectors and multiple scales for singularly perturbed ordinary differential equations ⋮ Nonlinear asymptotic analysis of a system of two free coupled oscillators with cubic nonlinearities ⋮ First integrals and analytical solutions of some dynamical systems ⋮ Asymptotic approximations of first integrals for a nonlinear oscillator

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