On normal modes in classical Hamiltonian systems

DOI10.1016/0020-7462(83)90018-5zbMath0515.70015OpenAlexW2086809754MaRDI QIDQ1052115

Embrecht W. C. Van Groesen

Publication date: 1983

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

Full work available at URL: https://research.utwente.nl/en/publications/on-normal-modes-in-classical-hamiltonian-systems(5c87c9fb-d3be-40e3-a5f2-1e42c7779f62).html

zbMATH Keywords

Lagrange multipliern degrees of freedomconstraining total kinetic energy functionallarge manifold of energy bifurcationsnormal modes in one-to-one correspondence with critical pointspotential continuously differentiable even function monotonically increasing on rays through originpotential energy has fixed valuevariational characterization for solutions

Mathematics Subject Classification ID

Hamilton's equations (70H05) Modal analysis in linear vibration theory (70J10) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (3)

On small period, large amplitude normal modes of natural Hamiltonian systems ⋮ Existence of multiple normal mode trajectories on convex energy surfaces of even, classical Hamiltonian systems ⋮ On a Lagrangean action based kinetic instability theorem of Kelvin and Tait

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