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On perturbed oscillators in 1–1–1 resonance: the case of axially symmetric cubic potentials

✍ Scribed by Sebastián Ferrer; Heinz Hanßmann; Jesús Palacián; Patricia Yanguas


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
403 KB
Volume
40
Category
Article
ISSN
0393-0440

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Non-linear oscillations of a Hamiltonian
✍ B.S. Bardin; A.M. Chekin 📂 Article 📅 2009 🏛 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