Normal forms and periodic solutions in the theory of nonlinear oscillations. Existence and asymptotic theory

DOI10.1016/0020-7462(89)90045-0zbMath0695.34037OpenAlexW1986167470MaRDI QIDQ909852

C. G. A. Van der Beek

Publication date: 1989

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(89)90045-0

zbMATH Keywords

algorithmsnonlinear oscillationsstability of periodic solutionsuniform windfield

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (4)

Resonance and near-resonance for a nonlinear wave equation ⋮ Asymptotics for a class of semilinear hyperbolic equations with an application to a problem with a quadratic nonlinearity ⋮ Minimal normal forms in harmonic oscillations with small nonlinear perturbations ⋮ Asymptotic approximations of first integrals for a nonlinear oscillator

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