On stability of self-contained Hamiltonian system with two degrees of freedom in the case of zero frequencies (Q1171896)

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scientific article; zbMATH DE number 3788067
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On stability of self-contained Hamiltonian system with two degrees of freedom in the case of zero frequencies
scientific article; zbMATH DE number 3788067

    Statements

    On stability of self-contained Hamiltonian system with two degrees of freedom in the case of zero frequencies (English)
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    1981
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    degenerate case
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    equilibrium position of autonomous Hamiltonian systems
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    two degrees of freedom
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    characteristic equation of linearized system has four zero roots
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    normal form
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    De Pree-Hori method
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    conical precession of symmetric satellite in circular orbit
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    converse problem of Lagrange- Dirichlet stability theorem
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