Non-linear oscillations of a Hamiltonian
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B.S. Bardin; A.M. Chekin
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Article
📅
2009
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Elsevier Science
🌐
English
⚖ 568 KB
The motion of an autonomous Hamiltonian system with two degrees of freedom near its equilibrium position is considered. It is assumed that, in a certain region of the equilibrium position, the Hamiltonian is an analytic and sign-definite function, while the frequencies of linear oscillations satisfy