On the Stability of Equilibria in Two-Degrees-of- Freedom Hamiltonian Systems Under Resonances
نویسندگان
چکیده
We consider the problem of stability of equilibrium points in Hamiltonian systems of two degrees of freedom under resonances. Determining the stability or instability is based on a geometrical criterion based on how two surfaces, related with the normal form, intersect one another. The equivalence of this criterion with a result of Cabral and Meyer is proved. With this geometrical procedure, the hypothesis may be extended to more general cases.
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عنوان ژورنال:
- J. Nonlinear Science
دوره 15 شماره
صفحات -
تاریخ انتشار 2005