The application of Galerkin's method in Lagrangian dynamics

DOI10.1016/0021-8928(95)00002-7zbMath0887.70001OpenAlexW2041301695MaRDI QIDQ1359915

Ivan I. Kosenko

Publication date: 1 June 1998

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(95)00002-7

zbMATH Keywords

Cauchy problemvariational formulationsdynamical systemMathieu's equationcanonical formapproximating solutions

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Lagrange's equations (70H03)

Cites Work

• Implementing Hamilton's law of varying action with shifted Legendre polynomials
• The use of Chebyshev polynomials to construct perturbed-motion trajectories in non-linear mechanics
• The construction of phase paths of a Hamiltonian system in the neighbourhood of an equilibrium
• Application of Hamilton's law of varying action to the restricted three-body problem
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