Coupled oscillators as a model for nonlinear parametric excitation

DOI10.1016/0093-6413(81)90028-8zbMath0489.70018OpenAlexW2054077782MaRDI QIDQ1166953

Catherine A. Holmes, Richard H. Rand

Publication date: 1981

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0093-6413(81)90028-8

zbMATH Keywords

coupled oscillatorsaction-angle variablesapproximate first integralsapproximate description for solutionsinvariant curves in associated Poincare mapneglecting O(epsilon 2)neighborhood of originparametric excitation of systems with feedback

Mathematics Subject Classification ID

Nonlinear resonances for nonlinear problems in mechanics (70K30) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (2)

Two models for the parametric forcing of a nonlinear oscillator ⋮ Dynamics of a nonlinear parametrically excited partial differential equation

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