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Hamiltonian Oscillators in 1—1—1 Resonance: Normalization and Integrability

✍ Scribed by S. Ferrer; J. Palacián; P. Yanguas


Book ID
106014397
Publisher
Springer
Year
2000
Tongue
English
Weight
216 KB
Volume
10
Category
Article
ISSN
0938-8974

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Non-linear oscillations of an autonomous Hamiltonian system with two degrees of freedom in the neighbourhood of a stable equilibrium are considered. It is assumed that the frequency ratio of the linear oscillations is close to or equal to two, and that the Hamiltonian is sign-definite in the neighbo

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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