On the stability of equilibria in two degrees of freedom Hamiltonian systems under resonances.
- Elipe, A. 1
- Lanchares, V. 2
- Pascual, A.I. 2
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1
Universidad de Zaragoza
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2
Universidad de La Rioja
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ISSN: 0938-8974
Datum der Publikation: 2005
Ausgabe: 15
Nummer: 5
Seiten: 305-319
Art: Artikel
Andere Publikationen in: Journal of Nonlinear Science
Zusammenfassung
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. © 2005 Springer Science+Business Media, Inc.