On normal modes in classical Hamiltonian systems (Q1052115)

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scientific article; zbMATH DE number 3815018
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English
On normal modes in classical Hamiltonian systems
scientific article; zbMATH DE number 3815018

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    On normal modes in classical Hamiltonian systems (English)
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    1983
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    n degrees of freedom
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    potential continuously differentiable even function monotonically increasing on rays through origin
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    variational characterization for solutions
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    constraining total kinetic energy functional
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    potential energy has fixed value
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    normal modes in one-to-one correspondence with critical points
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    Lagrange multiplier
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    large manifold of energy bifurcations
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