Existence of multiple normal mode trajectories on convex energy surfaces of even, classical Hamiltonian systems

DOI10.1016/0022-0396(85)90071-3zbMath0519.70026OpenAlexW2097747881MaRDI QIDQ1054491

Embrecht W. C. Van Groesen

Publication date: 1985

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://research.utwente.nl/en/publications/existence-of-multiple-normal-mode-trajectories-on-convex-energy-surfaces-of-even-classical-hamiltonian-systems(347ca86a-7d12-410b-ac16-2ef18130b3c0).html

zbMATH Keywords

normal modesmin-max methodsn degrees of freedomconstrained dual action principleHamiltonian function even in coordinate as well as momentum variablesnumber of distinct trajectories with same energy

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Hamilton's equations (70H05)

Related Items (12)

Periodic solutions with prescribed minimal period for convex autonomous Hamiltonian systems ⋮ On the multiplicity of non radial solutions for singular elliptic equations ⋮ Pseudoholomorphic strips in symplectisations. I: Asymptotic behavior ⋮ On a theorem of Weinstein ⋮ On small period, large amplitude normal modes of natural Hamiltonian systems ⋮ A note on the existence of multiple brake orbits ⋮ The brake orbits of Hamiltonian systems on positive-type hypersurfaces ⋮ Analytical mini-max methods for Hamiltonian brake orbits of prescribed energy ⋮ A priori bounds for periodic solutions of a class of Hamiltonian systems ⋮ A note on a theorem of R. Duffin ⋮ Nonlocal generalization of the Lyapunov theorem ⋮ Multiple orbits for Hamiltonian systems on starshaped surfaces with symmetries

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