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
Non-linear oscillations of a 1:1 resonance Hamiltonian system
โ Scribed by A.P. Markeyev
- Book ID
- 113681193
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 712 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0021-8928
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๐ SIMILAR VOLUMES
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
The motions of an autonomous Hamiltonian system with two degrees of freedom close to an equilibrium position, stable in the linear approximation, are considered. It is assumed that in this neighbourhood the quadratic part of the Hamiltonian of the system is sign-variable, and the ratio of the freque